Bentham Science Publishers, 2024. — 157 p. — ISBN: 978-981-5124-91-0. Probability and Statistics: Theory and Exercises is a textbook focused on practical examples of probability theory and statistics, to give readers a thorough understanding of mathematical relationships in these subjects. The book is designed for basic courses in probability and statistics and is aimed...
2nd Edition. — Cognella, 2019. — 367 p. Probability and Statistics for Science and Engineering with Examples in R teaches students how to use R software to obtain summary statistics, calculate probabilities and quantiles, find confidence intervals, and conduct statistical testing. The first chapter introduces methods for describing statistics. Over the course of the subsequent...
Paris: Atlantis Press, 2015. — 255 p. A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with records which play important roles in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of record values. We...
Boca Raton: CRC Press, 2022. — 391 p. The complexity of large-scale data sets (“Big Data”) has stimulated the development of advanced computational methods for analyzing them. There are two different kinds of methods to aid this. The model-based method uses probability models and likelihood and Bayesian theory, while the model-free method does not require a probability model,...
Almaty: Qazaq University, 2020. — 359 p. — ISBN: 978-601-04-4563-5. In the textbook, the mathematical foundations of the probability theory are presented on the basis of Kolmogorov's axiomatics. In the first chapter, materials on random events and their probabilities are presented in the framework of a discrete probability space. The second chapter is devoted to the general...
Pearson, 2015. — 528 p. — ISBN: 978-0-321-85299-1 This text grew out of the author s notes for a course that he has taught for many years to a diverse group of undergraduates. The early introduction to the major concepts engages students immediately, which helps them see the big picture, and sets an appropriate tone for the course. In subsequent chapters, these topics are...
Springer, 2003. — 303 p. In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio reviews the theory of Dirichlet forms, and gives applications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second...
Springer, 2003. - 296 p. In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society.Sergio Albeverio reviews the theory of Dirichlet forms, and givesapplications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second text,...
N.-Y.: Wiley, 2001. — 255 p. Mathematics of Chance utilizes simple, real-world problems-some of which have only recently been solved-to explain fundamental probability theorems, methods, and statistical reasoning. Jiri Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability,...
New York: John Wiley & Sons Inc, 1984. — 572 p. Apply the principles of probability and statistics to realistic engineering problems The easiest and most effective way to learn the principles of probabilistic modeling and statistical inference is to apply those principles to a variety of applications. That's why Ang and Tang's Second Edition of Probability Concepts in...
Hoboken: Wiley, 2006. — 419 p. Apply the principles of probability and statistics to realistic engineering problems The easiest and most effective way to learn the principles of probabilistic modeling and statistical inference is to apply those principles to a variety of applications. That's why Ang and Tang's Second Edition of Probability Concepts in Engineering (previously...
Cambridge: Cambridge University Press, 2008. — 291 p. This new and updated textbook is an excellent way to introduce probability and information theory to students new to mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it begins by building a clear and systematic foundation to probability and...
Cambridge University Press, 2019. — 318 p. — ISBN: 978-1-107-17891-5. Reflecting a sea change in how empirical research has been conducted over the past three decades, Foundations of Agnostic Statistics presents an innovative treatment of modern statistical theory for the social and health sciences. This book develops the fundamentals of what the authors call agnostic...
Springer, 2019. — 111 p. — (SpringerBriefs in Probability and Mathematical Statistics). — ISBN: 978-3-030-15016-7. This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. At the root of these methods...
European Mathematical Society, Switzerland, 2003. — 363 p. — (EMS Monographs in Mathematics) — ISBN: 3037190000 The elements of many classical combinatorial structures can be naturally decomposed into components. Permutations can be decomposed into cycles, polynomials over a finite field into irreducible factors, mappings into connected components. In all of these examples, and...
2nd edition. — Harcourt Press, 2000. — 532 p. Probability and Measure Theory, Second Edition, is a text for a graduate-level course in probability. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion. The Clear, readable style Solutions to...
Springer, 2021. — 148 p. This open-access book provides an introduction to uncertainty quantification in engineering. Starting with preliminaries on Bayesian statistics and Monte Carlo methods, followed by material on imprecise probabilities, it then focuses on reliability theory and simulation methods for complex systems. The two chapters discuss various aspects of aerospace...
Boca Raton: CRC Press, 2008. — 118 p. This book covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory’s outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to complex measures, Lp spaces, Radon–Nikodym theorem, and the...
Springer, 2023. — xii, 346 p. — (Theory and Decision Library A: Rational Choice in Practical Philosophy and Philosophy of Science, Vol. 54). — ISBN: 978-3-031-15435-5 ISBN: 978-3-031-15436-2. This Festschrift celebrates Teddy Seidenfeld and his seminal contributions to philosophy, statistics, probability, game theory, and related areas. The 13 contributions in this volume,...
Independently published, 2019. — 154 p. — ISBN: 1691522163. Prepare yourself for high school and college statistics and probability with this simplified Math Practice Workbook . This book is recommended for teachers, parents and students . Each chapter begins with worked examples followed by practice questions. Below each practice question is a space to solve the question....
New York: Springer, 2006. — 316 p. Point process statistics is successfully used in fields such as material science, human epidemiology, social sciences, animal epidemiology, biology, and seismology. Its further application depends greatly on good software and instructive case studies that show the way to successful work. This book satisfies this need by a presentation of the...
Berlin: Springer, 2004. — 472 p. This tutorial volume presents a coherent and well-balanced introduction to the validation of stochastic systems; it is based on a GI/Dagstuhl research seminar. Supervised by the seminar organizers and volume editors, established researchers in the area as well as graduate students put together a collection of articles competently covering all...
Publisher: Pearson Education, Inc. - 2007 Paperback: 302 p. This manual contains tests and quizzes for each chapter in the text. Each test is immediately followed by its Answer Key. This manual may be reproduced for classroom use only. ISBN: 0-321-36914-9
CRC Press, 2003. – 664 p. – ISBN: 1560329807, 9781560329800 This is one of two volumes that sets forth invited papers presented at the International Indian Statistical Association Conference. This volume emphasizes advancements in methodology and applications of probability and statistics. The chapters, representing the ideas of vanguard researchers on the topic, present...
New York: Taylor, 2002. — 525 p. At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including...
Boca Raton: Dekker/CRC Press, 2005. — 237 p. Statistical distributions and models play a vital role in many different applied fields in science, engineering, humanities, health and social sciences. Data obtained from real-life situations are often modeled by appropriate statistical distributions and then inferential procedures are developed under the assumption of that...
Basel: Birkhäuser, 2001. — 549 p. Traditions of the 150-year-old St. Petersburg School of Probability and Statistics had been developed by many prominent scientists including P. L. Chebychev, A. M. Lyapunov, A. A. Markov, S. N. Bernstein, and Yu. V. Linnik. In 1948, the Chair of Probability and Statistics was established at the Department of Mathematics and Mechanics of the...
Basel: Birkhäuser, 2000. — 394 p. This is a volume consisting of selected papers that were presented at the 3rd St. Petersburg Workshop on Simulation held at St. Petersburg, Russia, during June 28-July 3, 1998. The Workshop is a regular international event devoted to mathematical problems of simulation and applied statistics organized by the Department of Stochastic Simulation...
Paris: Philippe Barbe, 2003. — 325 p. This book is the first of a larger project that I may try to complete. A second volume should be devoted to the asymptotic analysis of multivariate integrals over small wedges and their applications. A third one should extend some of the results of the first two volumes to the infinite dimensional setting, where there are some potentially...
Wiley-ISTE, 2020. — 268 p. — ISBN: 978-1-119-77940-7. This book is a collective volume authored by leading scientists in the field of stochastic modeling, associated statistical topics and corresponding applications. The main classes of stochastic processes for dependent data investigated throughout this book are Markov, semi-Markov, autoregressive and piecewise deterministic...
New York: Academic Press, 1974. — 341 p. This book is intended primarily for use by the scientist or engineer who is concerned with fitting mathematical models to numerical data, and for use in courses on data analysis which deal with that subject. Such fitting is frequently done by the method of least squares, with no regard paid to previous knowledge concerning the values of...
Springer, 2009. - 237 p. This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th 26th July, 1995. These lectures are at a postgraduate research level. They are works of reference in their domain.
Singapore: World Scientific, 2015. — 345 p. Random Change of Time Integral Representations and Change of Time in Stochastic Integrals Semimartingales: Basic Notions, Structures, Elements of Stochastic Analysis Stochastic Exponential and Stochastic Logarithm. Cumulant Processes Processes with Independent Increments. Levy Processes Change of Measure. General Facts Change of...
Belmont: Dynamic Ideas, 2015. — 364 p. This book is an introductory textbook in Probability, written from the viewpoint of Applied Mathematics. Under that perspective, theoretical rigor is not denigrated, but the book puts a high premium on offering an intuitive overview of key theorems as well as clear evidence of their usefulness. Beyond teaching specific methods, the book...
3rd ed. — Chapman and Hall/CRC, 2019. — 487 p. — ISBN: 9781138044487. Probability and Statistics for Computer Scientists, Third Edition helps students understand fundamental concepts of Probability and Statistics, general methods of stochastic modeling, simulation, queuing, and statistical data analysis; make optimal decisions under uncertainty; model and evaluate computer...
2nd ed. — CRC Press, 2014. — 469 p. — ISBN: 9781482214109. Student-Friendly Coverage of Probability, Statistical Methods, Simulation, and Modeling Tools. Incorporating feedback from instructors and researchers who used the previous edition, Probability and Statistics for Computer Scientists, Second Edition helps students understand general methods of stochastic modeling,...
CRC Press, 2014. — 490 p. — ISBN: 1482219778, 9781482219807, 9781482219777 With contributions by leaders in the field, this book provides a comprehensive introduction to the foundations of probability and statistics. Each of the chapters covers a major topic and offers an intuitive view of the subject matter, methodologies, concepts, terms, and related applications. The book is...
New York: Morgan & Claypool Publishers, 2020. — 251 p. One of the most important subjects for all engineers and scientists is probability and statistics. This book presents the basics of the essential topics in probability and statistics from a rigorous standpoint.The basics of probability underlying all statistics is presented first and then we cover the essential topics in...
2nd ed. — Springer, 2024. — 297 p. — (Synthesis Lectures on Mathematics & Statistics). — ISBN: 3031389840. This new edition presents the essential topics in probability and statistics from a rigorous standpoint. Any discipline involving randomness, including medicine, engineering, and any area of scientific research, must have a way of analyzing or even predicting the outcomes...
Cambridge University Press, 2021. — 584 p. — ISBN13: 9781108488518. What does a probabilistic program actually compute? How can one formally reason about such probabilistic programs? This valuable guide covers such elementary questions and more. It provides a state-of-the-art overview of the theoretical underpinnings of modern probabilistic programming and their applications in...
New York: John Wiley and Sons, 1977. — 501 p. Probability. Introduction to statistics. Parameter Estimation methods. Introduction to linear estimation. Matrix analysis for linear parameter estimation. Minimization of sum of squares functions for models nonlinear in parameters. Design of optimal experiments.
Cham: Springer, 2022. — 434 p. Multivariate statistical analysis has undergone a rich and varied evolution during the latter half of the 20th century. Academics and practitioners have produced much literature with diverse interests and with varying multidisciplinary knowledge on different topics within the multivariate domain. Due to multivariate algebra being of sustained...
Berlin: Springer, 1990. — 372 p. Adaptive systems are widely encountered in many applications ranging through adaptive filtering and more generally adaptive signal processing, systems identification and adaptive control, to pattern recognition and machine intelligence: adaptation is now recognised as keystone of "intelligence" within computerised systems. These diverse areas...
Berlin: Springer, 2006. — 490 p. This book gives a detailed account of some recent developments in the field of probability and statistics for dependent data. The book covers a wide range of topics from Markov chain theory and weak dependence with an emphasis on some recent developments on dynamical systems, to strong dependence in times series and random fields. A special...
Lecture Notes in Mathematics 1717. Springer, 2000. - 289 p. Introduces the basic notions and properties of subordinators, such as the Levy-Khintchine formula, Itos decomposition, renewal measures, and ranges.
Boca Raton: CRC Press, 2012. — 339 p. The BUGS project is rooted in the idea of generic reusable components that can be put together as desired, like a child’s construction set but not quite as colourful. In this book we typically tackle each of these components one by one using deliberately simplified examples, but hopefully it will be clear that they can be easily assembled...
Basel: Birkhäuser, 2016. - 717 p. Collection of influential papers by respected mathematician and statistician, Rabi N. Bhattacharya Includes commentaries from established researchers to enhance accessibility Addresses past and present developments and future challenges in the fields of probability and statistics This volume presents some of the most influential papers...
2nd ed. — CRC, 2019. — 634 p. — (Texts in Statistical Science Series). — ISBN13: 978-1138369917 Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes...
Cham: Springer, 2023. — 438 p. This book describes extensions of Sudakov's classical result on the concentration of measure phenomenon for weighted sums of dependent random variables. The central topics of the book are weighted sums of random variables and the concentration of their distributions around Gaussian laws. The analysis takes place within the broader context of...
CRC Press, 2022. — 363 p. — ISBN: 978-0-367-74090-0. Mathematics is the basis of casino games, which are the bedrock of a $100 billion/year industry. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette takes an in-depth look at the four biggest table games in casinos: blackjack, baccarat, craps, and roulette. It guides readers through the...
Springer, 2002. — 473 p. This new volume of the long-established St. Flour Summer School of Probability includes the notes of the three major lecture courses by Erwin Bolthausen on "Large Deviations and Iterating Random Walks", by Edwin Perkins on "Dawson-Watanabe Superprocesses and Measure-Valued Diffusions", and by Aad van der Vaart on "Semiparametric Statistics".
Longman Higher Education, 1990. — 132 p. Motivated by a permanently and rapidly increasing range of applications, statistical reasoning has developed a huge variety of methods. To sharpen insight and to enable easy innovation of new techniques, structurally and hierarchically organized theories seem to be indispensable. The main purpose of this book is to contribute to this...
New York: Oxford University Press, 2016. — 433 p. Probability, Statistics, and Random Signals offers a comprehensive treatment of probability, giving equal treatment to discrete and continuous probability. The topic of statistics is presented as the application of probability to data analysis, not as a cookbook of statistical recipes. This student-friendly text features...
3rd. ed. - Singapore: World Scientific Publishing Company, 2024. - 589 p . - ISBN: 981126838X. This is a thoroughly revised and expanded third edition of a successful university textbook that provides a broad introduction to key areas of stochastic modeling. The previous edition was developed from lecture notes for two one-semester courses for third-year science and actuarial...
2nd Edition. — Singapore: World Scientific Publishing Company, 2014. — 252 p. This is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modeling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It...
Philadelphia: SIAM, 1987. — 163 p. Scientists, engineers, postgraduates, and students: do you employ probabilistic methods and models use statistical methods or combinatorics possess an interest in having direct access to original Russian-language literature? If so, then this dictionary is for you. Today, almost all Russian-language mathematical journals are translated into...
Utrecht: VSP International Science Publishers, 1996. — 435 p. U-statistics are universal objects of modern probabilistic summation theory. They appear in various statistical problems and have very important applications. The mathematical nature of this class of random variables has a functional character and, therefore, leads to the investigation of probabilistic distributions...
Boca Raton: CRC Press, 2018. — 213 p. Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the properties of the eigenvalues for various types of circulant matrices, such as the usual circulant, the reverse circulant, and the k-circulant when the dimension of the matrices grow and the entries are random....
Berlin: Walter de Gruyter, 2003. — 244 p. Many recent advances in modeling within the applied sciences and engineering have focused on the increasing importance of sensitivity analyses. For a given physical, financial, or environmental model, increased emphasis is now placed on assessing the consequences of changes in model outputs that result from small changes or errors in...
Berlin: Springer, 2011. — 312 p. This richly illustrated book is an exploration of how chance and risk, on the one hand, and meaning or significance on the other, compete for the limelight in art, philosophy, and science. In modern society, prudence and probability calculation permeate our daily lives. Yet it is clear for all to see that neither cautious bank regulations nor...
Academic Press, 2019. — 295 p. — ISBN: 978-0-12-815044-3. This book is an advanced survey technique which seeks to improve the likelihood that collected sample data presents a good representation of the population and minimizes the costs associated with obtaining them. The main focus of many agricultural, ecological and environmental studies is the development of well designed,...
Technical report №9. — University of Wisconsin, 1973. — 95 p. One possible viewpoint of a useful or worthwhile model fit is that the range of values predicted by the fitted equation over the X-space should be considerably greater than the size of the errors with which these predictions are made. In this report this viewpoint was investigated by the authors. They concluded that...
New York: Springer, 1988. — (Undergraduate Texts in Mathematics). — ISBN: 978-1-4612-6996-0, ISBN: 978-1-4612-1046-7. The present textbook provides prerequisite material for courses in Physics, Electrical Engineering, Operations Research, and other fields of applied science where probabilistic models are used intensively. The emphasis has therefore been placed on modeling and...
Springer International Publishing, Switzerland, 2017. — 561 p. — (Probability Theory and Stochastic Modeling 78) — ISBN: 9783319434759 Discrete probability deals with random elements taking their values in a finite space, or an infinite yet denumerable space: integer-valued random variables, but also random elements with values in a complex space, for instance a graph, a tree,...
World Scientific, 2000. — 240 p. Originally published in 1986, this volume consists of 100 problems in probability and statistics, together with solutions and extensive notes on the solutions. The notes are designed to enable the reader to discover relationships between various statistical techniques, and provide the confidence needed to tackle new problems.
New York: Springer, 2016. — 274 p. This book presents a philosophical approach to probability and probabilistic thinking, considering the underpinnings of probabilistic reasoning and modeling, which effectively underlie everything in data science. The ultimate goal is to call into question many standard tenets and lay the philosophical and probabilistic groundwork and...
Lulu.com, 2008. — 250 p. — ISBN10: 0557019907; ISBN13: 978-0557019908. There is no such thing as a law of averages. If you are watching a roulette wheel, and it has just come up red twelve times in a row, the in no way is black “due” to show. That wheel has no memory; it cannot recall that it was just red for so long. There are no hidden forces that will nudge it back to black....
World Scientific Publishing Co. Pte. Ltd.2006. — 311 p. ISBN: 9812703918. Contributed by world renowned researchers, the book features a wide range of important topics in modern statistical theory and methodology, economics and finance, ecology, education, health and sports studies, and computer and IT-data mining. It is accessible to students and of interest to experts. Many...
Springer Science+ Business Media New York, 2004. — 262 p. — ISBN: 978-1-4419-1893-2. This book is an attempt to present a unified theory of rare event simulation and the variance reduction technique known as importance sampling from the point of view of the probabilistic theory of large deviations. This framework allows us to view a vast assortment of simulation problems from a...
Springer, 2006. — 262 p. This book combines material from our previous books FP (Fuzzy Probabilities: New Approach and Applications, Physica-Verlag, 2003) and FS (Fuzzy Statistics, Springer, 2004), plus has about one-third new results. From FP we have material on basic fuzzy probability, discrete (fuzzy Poisson, binomial), and continuous (uniform, normal, exponential) fuzzy...
New York: Springer, 2019. — xix, 574 p. — (Probability Theory and Stochastic Modeling, 94). — ISBN: 978-1-4939-9577-6. This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. A feature of the book is the systematic use of variational representations for quantities of interest such...
Springer, 2018. — 496 p. — (Probability Theory and Stochastic Modeling 91). — ISBN: 3319995367. One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of...
Amsterdam: Springer, 1992. — 687 p. Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all...
World Scientific, 2023. — 557 p. This book is a comprehensive exploration of the interplay between Stochastic Analysis, Geometry, and Partial Differential Equations (PDEs). It aims to investigate the influence of geometry on diffusions induced by underlying structures, such as Riemannian or sub-Riemannian geometries, and examine the implications for solving problems in PDEs,...
New York: Springer, 2018. — 146 p. This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends distribution to linear functionals within the space of differential forms of any order. Methods to extend random distributions to random currents are...
Second Edition. — SAGE Publications, 2018. — 779 p. — ISBN: 9781483378732. The Second Edition takes a unique, active approach to teaching and learning introductory statistics that allows students to discover and correct their misunderstandings as chapters progress rather than at their conclusion. Empirically-developed, self-correcting activities reinforce and expand on...
Springer, 2021. — 172 p. This book delivers a concise and carefully structured introduction to probability and random variables. It aims to build a linkage between the theoretical conceptual topics and the practical applications, especially in the undergraduate engineering area. The book motivates the student to gain a full understanding of the fundamentals of probability...
Wiley-ISTE, 2020. — 233 p. — ISBN: 978-1-119-77973-5. This book contains some applications of the developed methods to the analysis of the model of counteraction to information attacks. The monograph includes the following new results: under the Levy approximation conditions, a limiting generator was constructed and an asymptotic behavior analysis of stochastic evolution...
New York: Morgan&Claypool, 2020. — 229 p. This is an introductory book on discrete statistical distributions and its applications. It discusses only those that are widely used in the applications of probability and statistics in everyday life. The purpose is to give a self-contained introduction to classical discrete distributions in statistics. Instead of compiling the...
Springer International Publishing AG, 2017. — 175 p. — (Lecture Notes in Mathematics 2197). — ISBN: 978-3-319-65815-5. This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no...
Cham: Springer, 2014. — 156 p. A certain curious feature of random objects, introduced by the author as “super concentration,” and two related topics, “chaos” and “multiple valleys,” are highlighted in this book. Although super concentration has established itself as a recognized feature in several areas of probability theory in the last twenty years (under a variety of names),...
Oxford: Oxford University Press, 2003. — 300 p. The book examines the distinguishing features of the various contending approaches to statistical inference (including decision-making) that are currently available in the statistical literature and traces the historical evolution of the concepts underlying these approaches and their applications. The first part entitled,...
New York: Springer, 2013. — 255 p. This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M....
Springer, 2019. — 303 p. This collection of selected, revised, and extended contributions resulted from a Workshop on BSDEs, SPDEs, and their Applications that took place in Edinburgh, Scotland, in July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial...
Boca Raton, USA: CRC Press, Taylor & Francis Group, LLC., 2018. — 254 p. — (Chapman & Hall/CRC, Computer Science and Data Analysis Series). — ISBN13: 978-1-4987-2960-4. Written by some major contributors to the development of this class of graphical models, Chain Event Graphs introduces a viable and straightforward new tool for statistical inference, model selection and...
Wiley, 2018. — 306 p. — ISBN: 978-1-119-42296-9. Written by the leading expert in the field, this text reviews the major new developments in envelope models and methods An Introduction to Envelopes provides an overview of the theory and methods of envelopes, a class of procedures for increasing efficiency in multivariate analyses without altering traditional objectives. The...
N.-Y.: Springer, 2004. — 286 p. Safety critical and high-integrity systems, such as industrial plants and economic systems can be subject to abrupt changes - for instance due to component or interconnection failure, and sudden environment changes etc. Combining probability and operator theory, Discrete-Time Markov Jump Linear Systems provides a unified and rigorous treatment of...
New York: Springer, 2019. — 240 p. This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a...
New York: The Johns Hopkins University Press, 2001. - 121 p. In Algebra of Probable Inference, Richard T. Cox develops and demonstrates that probability theory is the only theory of inductive inference that abides by logical consistency. Cox does so through a functional derivation of probability theory as the unique extension of Boolean Algebra thereby establishing, for the...
3te Auflage. — Springer Spektrum, 2017. — 384 p. — ISBN: 978-3-662-54161-6. Dieses Buch führt anwendungsorientiert in die Beschreibende und Schließende Statistik, in die Wahrscheinlichkeitsrechnung und in Stochastische Modellierung ein und wendet sich insbesondere an Studierende der Informatik, des Ingenieur- und Wirtschaftsingenieurwesens sowie der Wirtschaftswissenschaften....
New York: Academic Press, 1982. — 277 p. Strong Approximations in Probability and Statistics present strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and...
Path Ways To Clear Learning, 2012. — 588 p. — ISBN: 9781492245100. Welcome… Fundamentals of Statistics & Probability Theory, a two volume textbook tutorial created by Howard Dachslager is an ideal tutorial resource for supporting both independent study and classroom textbook requirements. All major areas of elementary probability theory and statistics are covered in this...
Path Ways To Clear Learning, 2012. — 551 p. — ISBN: 9781493793457. Welcome… Fundamentals of Statistics & Probability Theory , a two volume textbook tutorial created by Howard Dachslager is an ideal tutorial resource for supporting both independent study and classroom textbook requirements. All major areas of elementary probability theory and statistics are covered in this...
2016 Taylor & Francis. Fourteenth editio. Burman University, Formerly Canadian University College IBM SPSS Statistics 23 Step by Step: A Simple Guide and Reference, 14e, takes a straightforward, step-by-step approach that makes SPSS software clear to beginners and experienced researchers alike. Extensive use of vivid, four-color screen shots, clear writing, and step-by-step...
Newnes, 2003. - 450 p. This introductory textbook on statistics and probability is aimed at two groups: practicing engineers in industries and engineering students at about the freshman/sophomore level. The material is explained in a very easy-to-understand manner with numerous worked-out examples. Many of the examples presented have an engineering flavor, which will appeal to...
Elsevier Academic Press Publications, 2005. — 707 p. Probability & Statistics with Integrated Software Routines is a calculus-based treatment of probability concurrent with and integrated with statistics through interactive, tailored software applications designed to enhance the phenomena of probability and statistics. The software programs make the book unique. The book comes...
4th Edition. — Addison Wesley, 2011. — 911 p. The revision of this well-respected text presents a balanced approach of the classical and Bayesian methods and now includes a chapter on simulation (including Markov chain Monte Carlo and the Bootstrap), coverage of residual analysis in linear models, and many examples using real data. Calculus is assumed as a prerequisite, and a...
Addison-Wesley, 1989. — 730 p. Probability & Statistics was written for a one or two semester probability and statistics course offered primarily at four-year institutions and taken mostly by sophomore and junior level students, majoring in mathematics or statistics. Calculus is a prerequisite, and a familiarity with the concepts and elementary properties of vectors and...
3rd Edition. — Pearson Education, 2002. — 405 p. — ISBN: 0-201-87999-9. Probability & Statistics was written for a one or two semester probability and statistics course offered primarily at four-year institutions and taken mostly by sophomore and junior level students, majoring in mathematics or statistics.
Springer-Verlag London Limited, 2005. — 485 p. Probability and statistics are fascinating subjects on the interface between mathematics and applied sciences that help us understand and solve practical problems. We believe that you, by learning how stochastic methods come about and why they work, will be able to understand the meaning of statistical statements as well as judge...
N.-Y.: Springer, 2005. - 288 p. This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for...
Basel: Birkhäuser, 1998. — 519 p. Why One Needs to Analyze Data Data Representation and Compression Analytic Representation of Random Experimental Data Algorithmic Complexity and Random Strings Statistical Independence and Kolmogorov’s Probability Theory Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena General Principles of Statistical...
New York: Wiley-Interscience, 1997. — 368 p. This new material is concerned with the theory and applications of probability, statistics, and analysis of canonical moments. It provides a powerful tool for the determination of optimal experimental designs, for the calculation of the main characteristics of random walks, and for other moment problems appearing in probability and...
New York: Academic Press, 1989. — 329 p. This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students...
7th Edition. — Duxbury Press, 2008. — 768 p. This comprehensive introduction to probability and statistics will give you the solid grounding you need no matter what your engineering specialty. Through the use of lively and realistic examples, the author helps you go beyond simply learning about statistics to actually putting the statistical methods to use. Rather than focus on...
Duxbury Press – 2011, 776 p., 8th edition. ISBN: 0538733527, 9780538733526. This comprehensive introduction to probability and statistics will give you the solid grounding you need no matter what your engineering specialty. Through the use of lively and realistic examples, the author helps you go beyond simply learning about statistics-you'll also learn how to put the...
8th edition. — Cengage Learning, 2012. — 776 p. Overview and Descriptive Statistics Probability Discrete Random Variables and Probability Distributions Continuous Random Variables and Probability Distributions Joint Probability Distributions and Random Samples Point Estimation Statistical Intervals Based on a Single Sample Tests of Hypotheses Based on a Single Sample Inferences...
Springer-Verlag Berlin Heidelberg – 2010, 247 p. ISBN: 3790825972, 9783790825978 This book presents surveys on recent developments in applied probability and statistics. The contributions include topics such as nonparametric regression and density estimation, option pricing, probabilistic methods for multivariate interpolation, robust graphical modeling and stochastic...
New York: Springer, 1986. - 857 p. General outline About our notation Definitions A few important univariate densities Assessment of random variate generators Distributions with no variable parameters Parametric families Operations on random variables Transformations Mixtures Order statistics Convolutions Sums of independent random variables Sums of independent uniform random...
Princeton: Princeton University Press, 2017. — 271 p. — ISBN: 978-0-691-17416-7. In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics,...
Springer, 2003. — 122 p. This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonferroni inequalities, which are provably at least as sharp as their classical counterparts while involving fewer terms. All necessary definitions from graph theory, lattice theory and topology are provided. The...
Berlin: Springer, 2010. - 224 p. This volume collects recent works on weakly dependent, long-memory and multifractal processes and introduces new dependence measures for studying complex stochastic systems. Other topics include the statistical theory for bootstrap and permutation statistics for infinite variance processes, the dependence structure of max-stable processes, and...
N.-Y.: Springer, 2007. - 216 p. Computational probability encompasses data structures and algorithms that have emerged over the past decade that allow researchers and students to focus on a new class of stochastic problems. COMPUTATIONAL PROBABILITY is the first book that examines and presents these computational methods in a systematic manner. The techniques described here...
2nd Edition. — Springer, 2017. — 336 p. — (International Series in Operations Research & Management Science 246). — ISBN: 3319433210. This new edition includes the latest advances and developments in computational probability involving A Probability Programming Language (APPL). The book examines and presents, in a systematic manner, computational probability methods that...
Springer, 2008. — 415 p. Probability theory has been the only well-founded theory of uncertainty for a long time. It was viewed either as a powerful tool for modeling random phenomena, or as a rational approach to the notion of degree of belief. During the last thirty years, in areas centered around decision theory, artificial intelligence and information processing, numerous...
2nd edition. — Cambridge University Press, 2014. — 472 p. — (Cambridge Studies in Advanced Mathematics 142). This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains. The author, an acknowledged expert, gives a thorough treatment of the subject, including several topics not found in any...
2nd edition. — Cambridge University Press, 2014. — 469 p. — (Cambridge Studies in Advanced Mathematics 142). This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains. The author, an acknowledged expert, gives a thorough treatment of the subject, including several topics not found in any...
Hoboken, New Jersey: John Wiley & Sons, Inc., 2014. — 507 p. The Questions. Basic Vocabulary. Descriptive Statistics. Graphing. Random Variables and the Binomial Distribution. The Normal Distribution. The /-Distribution. Sampling Distributions and the Central Limit Theorem. Finding Room for a Margin of Error. Confidence Intervals: Basics for Single Population Means and...
3G E-Learning LLC, 2023. — 346 p. Probability is widely used in all sectors of daily life like sports, weather reports, blood samples, congenital disabilities, statics, and many others. Statistics are the sets of mathematical equations that we use to analyze things. It keeps us informed about, what is happening in the world around us. It is mostly used to keep records,...
Springer, 2013. — 328 p. — ISBN: 364236067X. Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them...
New York: Springer, 2020. — 209 p. This monograph is a comprehensive and cohesive exposition of power-law statistics. Following a bottom-up construction from a foundational bedrock – the power Poisson process – this monograph presents a unified study of an assortment of power-law statistics including: Pareto laws, Zipf laws, Weibull and Fréchet laws, power Lorenz curves, Lévy...
Singapore: World Scientific Publishing Company, 2013. - 828 p. This book presents the theory of probability and mathematical statistics at a level suitable for researchers at the frontiers of applied disciplines. Examples and exercises make essential concepts in measure theory and analysis accessible to those with preparation limited to vector calculus. Complete, detailed...
W.H. Freeman and Company, 2010. - 760 p. Second Edition Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor to the course, incorporating the computer and offering an integrated approach to inference that includes the frequency approach and the Bayesian inference. From the start the book integrates...
Springer, 2008. - 209 p. Chance continues to govern our lives in the 21st Century. From the genes we inherit and the environment into which we are born, to the lottery ticket we buy at the local store, much of life is a gamble. In business, education, travel, health, and marriage, we take chances in the hope of obtaining something better. Chance colors our lives with...
Hoboken: CRC Press, 2011. — 206 p. A Whistle-Stop Tour of Statistics introduces basic probability and statistics through bite-size coverage of key topics. A review aid and study guide for undergraduate students, it presents descriptions of key concepts from probability and statistics in self-contained sections. Features Presents an accessible reference to the key concepts in...
Springer, 2012. — 207 p. — (Topics in Safety, Risk, Reliability and Quality 18). — ISBN: 9400740557. Of practical relevance - yet theoretically solid and consistant Emphasis on relevance for engineering decision support and assessments Written for engineers by an engineer This book provides the reader with the basic skills and tools of statistics and probability in the context...
New York: Chapman & Hall, 2017. — 231 p. Since the publication of the by now classical Johnson and Kotz Continuous Multivariate Distributions (Wiley, 1972) there have been substantial developments in multivariate distribution theory especially in the area of non-normal symmetric multivariate distributions. The book by Fang, Kotz and Ng summarizes these developments in a manner...
New York: Springer, 2015. — 836 p. This extensive selection of William Feller’s scientific papers shows the breadth of his oeuvre as well as the historical development of his scientific interests. Six seminal papers – originally written in German – on the central limit theorem, the law of large numbers, the foundations of probability theory, stochastic processes and...
2nd ed. — N.Y.: John Wiley & Sons Inc., 1957. — 462 p. The favorable reception of the first edition surpassed the most daring anticipation and, in addition to an unexpected number of users, the book seems to have found friends who read it merely for fun; it is most heartening that they range from pure mathematicians to pure amateurs. Although I cannot here express individual...
Podręcznik. — Tlumaczyli Robert Bartoszyński, Bronislaw Bielecki. — Wydanie szóste. — Warszawa: Wydawnictwo Naukowe PWN, 2007. — 304 s. — ISBN: 978-83-01-14684-9. Książka Fellera, którą prezentujemy polskiemu Czytelnikowi, była wydana w oryginale jako pierwszy tom dwutomowego dzieła. Szczególną cechą tej książki, odróżniającą ją od innych tego rodzaju opracowań, jest dobór...
Chapman and Hall/CRC, 2024. — 293 p. Several important topics in spatial and spatio-temporal statistics developed in the last 15 years have not received enough attention in textbooks. Modeling Spatio-Temporal Data: Markov Random Fields, Objectives Bayes, and Multiscale Models aims to fill this gap by providing an overview of a variety of recently proposed approaches for the...
New York: Springer, 1993. — 329 p. In June of 1990, a conference was held on Probablity Models and Statisti cal Analyses for Ranking Data, under the joint auspices of the American Mathematical Society, the Institute for Mathematical Statistics, and the Society of Industrial and Applied Mathematicians. The conference took place at the University of Massachusetts, Amherst, and...
Springer, 2018. — 374 p. — ISBN: 978-3-319-64409-7. This textbook is aimed at computer science undergraduates late in sophomore or early in junior year, supplying a comprehensive background in qualitative and quantitative data analysis, probability, random variables, and statistical methods, including machine learning. With careful treatment of topics that fill the curricular...
Boca Raton: CRC Press, 2022. — 428 p. — (Textbooks in Mathematics). — ISBN: 1032330473. Probability and statistics courses are more popular than ever. Regardless of your major or your profession, you will most likely use concepts from probability and statistics often in your career. The primary goal behind this book is to offer the flexibility for instructors to build most...
Springer, 2016. — 147 p. — (SpringerBriefs in Probability and Mathematical Statistics). — ISBN: 9811008485. Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and...
McGraw-Hill, 2010. - 224 p. In the popular tradition of eye-opening bestsellers like Freakonomics, The Tipping Point, and Super Crunchers, this fascinating book from renowned statistician and blogger Kaiser Fung takes you inside the hidden world of facts and figures that affect you every day, in every way. These are the statistics that rule your life, your job, your commute,...
N.-Y.: Springer, 1996. - 278 p. This book presents a large variety of extensions of the methods of inclusion and exclusion. Both methods for generating and methods for proof of such inequalities are discussed. The inequalities are utilized for finding asymptotic values and for limit theorems. Applications vary from classical probability estimates to modern extreme value theory...
AIP Publishers, 2022. — 274 p. Probability Distributions. Heavy-Tailed Distributions. Markov Processes. Stationary Processes. The Wiener Process and Brownian Motion. Stochastic Differential Equations. The Fokker – Planck Equation. Elementary Diffusion Processes. Approximating Diffusion Processes. Escape and Extinction. Elementary Jump Processes. Population Processes. Modeling...
3rd Edition. — Berlin: Springer, 2004. — 440 p. — ISBN: 3-540-20882-8. This valuable and highly-praised reference collects and explains, in simple language and reasonably deductive form, those formulas and methods and their applications used in modern Statistical Physics, including the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations,...
Londonand New York. Spon Press. 2005. — 369 p. Probability Theory and Statistical Methods for Engineers describes the fundamental concepts and applications of probability and statistics. By bringing together modern probability theory with the more practical applications of statistics, it bridges the gap between theory and practice. Topics such as, for example, Fourier...
London: Wiley-ISTE, 2022. — 284 p. Brings together 16 original papers from the colloquium of the same name, organized by the International Cultural Center of Cerisy in 2019. From mathematics to the humanities and biology, there are many concepts and questions related to chance. What are the different types of chance? Does chance correspond to a lack of knowledge about the...
Springer, 2009. — 129 p. — (Lecture Notes in Statistics 195). — ISBN: 978-3-642-01688-2. Multivariate normal and t probabilities are needed for statistical inference in many applications. Modern statistical computation packages provide functions for the computation of these probabilities for problems with one or two variables. This book describes recently developed methods for...
2nd edition. — Berlin: de Gruyter, 2013. — 420 p. This textbook, now in its second revised and extended edition, presents the fundamental ideas and results of both probability theory and statistics. It comprises the material of a one-year course, which is addressed to students of mathematics and to scientists with an interest in the mathematical side of stochastics. The...
Boca Raton: CRC Press, 1999. — 858 p. Contains over 2500 equations and exhaustively covers not only nonparametrics but also parametric, semiparametric, frequentist, Bayesian, bootstrap, adaptive, univariate, and multivariate statistical methods, as well as practical uses of Markov chain models. Some examples of empirical fourier analysis in scientific problems; modeling and...
New York: Chapman and Hall/CRC, 1995. — 512 p. In a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in Austria place a Bronze Age site in its true temporal location on the calendar...
New York: Springer, 2018. — 897 p. This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is...
Boca Raton: Chapman & Hall/CRC, 2000. — 317 p. Galton used quantiles more than a hundred years ago in describing data. Tukey and Parzen used them in the 60s and 70s in describing populations. Since then, the authors of many papers, both theoretical and practical, have used various aspects of quantiles in their work. Until now, however, no one put all the ideas together to form...
Lecture Notes in Mathematics 1665. Springer-Verlag Telos, 1997. - 424 p. This new volume of the long-established St. Flour Summer School of Probability includes the notes of the three major lecture courses by Erwin Bolthausen on "Large Deviations and Iterating Random Walks", by Edwin Perkins on "Dawson-Watanabe Superprocesses and Measure-Valued Diffusions", and by Aad van der...
N.-Y.: Springer, 1997. - 428 p. Lecture Notes in Mathematics 1665, reports on new developments in mathematical research and teaching-quickly, informally and at a high level.
Basel: Birkhäuser, 2003. — 361 p. Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities and their relationship to many applications, particularly in stochastic analysis. The broad...
Hodder Education, 2014. — 344 p. in color. — (Cambridge International As & a Level Mathematics). — ISBN: 1444146505, 9781444146509 his brand new series has been written for the University of Cambridge International Examinations course for AS and A Level Mathematics (9709). This title covers the requirements of S1 and S2. The authors are experienced examiners and teachers who...
New York: Springer, 2018. — 233 p. — (Mathematical Engineering). — ISBN: 978-3-319-60780-1. The monograph compares two approaches that describe the statistical stability phenomenon – one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account. There...
Cham: Springer Nature Switzerland, 2024. — 321 p. This is the first comprehensive book on Trotter-Kato approximations of stochastic differential equations (SDEs) in infinite dimensions and applications. This research monograph combines the varied literature on this topic since 1985 when such a study was initiated. The author provides a clear and systematic introduction to the...
John Wiley & Sons, Ltd. 2011. — 476 p. — ISBN: 0470012552. Biplots are a graphical method for simultaneously displaying two kinds of information; typically, the variables and sample units described by a multivariate data matrix or the items labelling the rows and columns of a two-way table. This book aims to popularize what is now seen to be a useful and reliable method for the...
Wiley, 2019 (2020). — 401 p. — ISBN: 978-1-119-30083-0. This book is a comprehensive undergraduate-level textbook. With its excellent topical coverage, the focus of this book is on the basic principles and practical applications of the fundamental concepts that are extensively used in various Engineering disciplines as well as in a variety of programs in Life and Social...
Machine Learning Techniques, 2018. — 106 p. This book is intended for professionals in data science, computer science, operations research, statistics, machine learning, big data, and mathematics. In 100 p., it covers many new topics, offering a fresh perspective on the subject. It is accessible to practitioners with a two-year college-level exposure to statistics and...
N.-Y.: Springer, 2000. - 490 p. Great advances have been made in recent years in the field of computational probability. In particular, the state of the art - as it relates to queuing systems, stochastic Petri-nets and systems dealing with reliability - has benefited significantly from these advances. The objective of this book is to make these topics accessible to researchers,...
Institute of Mathematical Statistics, 2002. — 96 p. In the Winter Quarter of the academic year 1984 — 1985, Raj Bahadur gave a series of lectures on estimation theory at the University of Chicago. The role of statistical theory in Chicago's graduate curriculum has always varied according to faculty interests, but the hard and detailed examination of the classical theory of...
Rosen Educational Publishing, 2010. - 335 p. In an effort to better forecast the future for gains, and combat the potential losses of uncertainty, numerous disciplines have come to rely on the power of statistics and probability. By observing patterns and repeated behaviors, mathematicians have devised calculations to significantly reduce human potential for error. This volume...
Springer, 2012. — 534 p. — (Springer Series in Reliability Engineering). — ISBN: 1447123271. Equations are used in applied sciences and engineering to characterize the state of mechanical, economics, physical, environmental, and other systems. For a long time it has been assumed that the coefficients of, the input to, and the end conditions for these equations are deterministic...
Cambridge University Press, 2019. — 214 p. — ISBN: 1108610277, 9781108610278. Probability is a subject of fundamental importance that's often taught as a dry slog through ball-filled urns. Fat Chance, a snappy and example-rich text, is the perfect antidote and a great choice for a general-audience math course.' Jordan Ellenberg, University of Wisconsin-Madison Mathematics is a...
Geidelberg: Physica-Verlag, 2002. — 376 p. Classical probability theory and mathematical statistics appear sometimes too rigid for real life problems, especially while dealing with vague data or imprecise requirements. These problems have motivated many researchers to "soften" the classical theory. Some "softening" approaches utilize concepts and techniques developed in...
Boca Raton: CRC Press, 2004. — 588 p. A milestone in the published literature on the subject, this first-ever Handbook of Beta Distribution and Its Applications clearly enumerates the properties of beta distributions and related mathematical notions. It summarizes modern applications in a variety of fields, reviews up-and-coming progress from the front lines of statistical...
Basel: Birkhäuser, 2010. — 278 p. With an emphasis on models and techniques, this textbook introduces many of the fundamental concepts of stochastic modeling that are now a vital component of almost every scientific investigation. These models form the basis of well-known parametric lifetime distributions such as exponential, Weibull, and gamma distributions, as well as...
2nd Edition. — Wiley, 2020. — 1034 p. — ISBN 978-1-119-51664-4. Introduces basic concepts in probability and statistics to data science students, as well as engineers and scientists Aimed at undergraduate/graduate-level engineering and natural science students, this timely, fully updated edition of a popular book on statistics and probability shows how real-world problems can...
Oxford: Oxford University Press, 2017. — 345 p. Written by the creator of the modern theory of random tensors, this book is the first self-contained introductory text to this rapidly developing theory. Starting from notions familiar to the average researcher or Ph.D. student in mathematical or theoretical physics, the book presents in detail the theory and its applications to...
New York: Chapman & Hall, 1995. — 385 p. This text combines stochastic modeling and statistical inference in a variety of standard and less common models, such as point processes, Markov random fields and hidden Markov models, in a clear, thoughtful and succinct manner. The main distinguishing feature of this work is that, in addition to probability theory, it contains...
Singapore: World Scientific Publishing Co. Pte. Ltd., 2018. — 299 p. The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic theory but recently it turned out that main limit theorems of probability theory, such as central, local and Poisson limit theorems can also be obtained for such...
Academic Press, 1980. — 308 p. Martingale Limit Theory and Its Application discusses the asymptotic properties of martingales, particularly as regards key prototype of probabilistic behavior that has wide applications. The book explains the thesis that martingale theory is central to probability theory, and also examines the relationships between martingales and processes...
University of Wisconsin, 2022. — 399 p. A comprehensive and up-to-date introduction to mathematics that all economics students need to know. Probability theory is the quantitative language used to handle uncertainty and is the foundation of modern statistics. Probability and Statistics for Economists provides graduate and Ph.D. students with an essential introduction to...
Basel: Universität Basel, 2018. — 99 S. Diese Mitschrift kann und soll nicht ganz den Wortlaut der Vorlesung wiedergeben. Speziell soll sie kein Lehrbuch ersetzen. Vielmehr soll diese Mitschrift das Vorarbeiten des Vorlesungsstoffes ermöglichen. Dabei sei angemerkt, dass es sich bei den mit Sternchen versehenen Kapitel um ergänzenden Stoff handelt, der aus Zeitgründen nicht in...
Wiley, 2008. - 377 p. This title considers the special of random processes known as semi-Markov processes. These possess the Markov property with respect to any intrinsic Markov time such as the first exit time from an open set or a finite iteration of these times. The class of semi-Markov processes includes strong Markov processes, Lévy and Smith stepped semi-Markov processes,...
Dordrecht: Reidel Publishing Company, 2013. - 315 p. In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and algebraic structure in...
Amsterdam: Springer, 1976. — 463 p. In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and algebraic structure in probabilistic and...
Amsterdam: Springer, 1976. — 244 p. In May of 1973 we organized an international research colloquium on foundations of probability, statistics, and statistical theories of science at the University of Western Ontario. During the past four decades there have been striking formal advances in our understanding of logic, semantics and algebraic structure in probabilistic and...
Amsterdam: Springer, 1988. — 266 p. — ISBN: 9789027726346, 9027726345. The papers collected here are, with three exceptions, those presented at a conference on probability and causation held at the University of California at Irvine on July 15-19, 1985. The exceptions are that David Freedman and Abner Shimony were not able to contribute the papers that they presented to this...
Amazon Australia Services, Inc., 2016. — 54 p. — ASIN B01LX4YQSY. This book gives examples of how to understand using permutations and combinations, which are a central part of many probability problems. The focus of this book is on understanding why the permutation and combination equations are what they are, which ends up making them a lot easier to understand, remember, and...
Vyd. 1. — Praha, Bratislava : SNTL - Nakladatelství technické literatury ; Alfa, 1987. — 202 s. Učebnice seznamuje čtenáře se základy teorie pravděpodobnosti, s jejími hlavními postupy a jejich využití v praxi.
Duxbury Press – 2012, 864 p. in color, 4th edition ISBN: 1111827044, 9781111827045 Probability and Statistics for Engineers and Scientists, Fourth Edition, continues the approach that has made previous editions successful. As a teacher and researcher at a premier engineering school, author Tony Hayter is in touch with engineers daily-and understands their vocabulary. The result...
4th edition. — Brooks/Cole, 2012. — 864 p. ISBN: 1111827044. PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS, Fourth Edition, continues the approach that has made previous editions successful. As a teacher and researcher at a premier engineering school, author Tony Hayter is in touch with engineers daily-and understands their vocabulary. The result of this familiarity...
Boca Raton: CRC Press, 2010. — 166 p. As a mathematical model for determining the probable number of outcomes, the new Poisson Distribution tables have long been an easier tool to use for reliability analyses. Longtime quality professional, inventor, and consultant John J. Heldt now makes the Poisson Table even more useful-creating two new tables (available only in this book)...
Singapore: World Scientific, 2021. — 248 p. The Moment-SOS hierarchy is a powerful methodology that is used to solve the Generalized Moment Problem (GMP) where the list of applications in various areas of Science and Engineering is almost endless. Initially designed for solving polynomial optimization problems (the simplest example of the GMP), it applies to solving any...
Berlin: Springer, 2013. — 124 p. Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics...
Wiley, 4 ed, 2003 – 672 p. - Now with even more examples with real data, real-world applications, and computer exercise, the Fourth Edition of this accessible text prepares you for situations you're likely to encounter as a professionakl engineer. Together with new co-authors David Goldsman and Connie Borror, William Hines and Douglas Montgomery have refined their highly...
4th ed. — Hoboken: Wiley, 2003. — 222 p. Now with even more examples with real data, real-world applications, and computer exercise, the Fourth Edition of this accessible text prepares you for situations you're likely to encounter as a professional engineer. Together with new co-authors David Goldsman and Connie Borror, William Hines and Douglas Montgomery have refined their...
Second Edition. — Society for Industrial and Applied Mathematics, Philadelphia, PA- 2005. — 478 p. Basic Concepts fills the need for an introduction to the fundamental ideas of modem statistics that was mathematically rigorous but did not require calculus. This was achieved by restricting attention to discrete situations. The book was translated into Italian, Hebrew, Danish,...
New York: Chapman and Hall/CRC, 1994. - 547 p. Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses...
New York: Chapman and Hall/CRC, 1994. — 632 p. Volume I of this two-volume text and reference work begins by providing a foundation in measure and integration theory. It then offers a systematic introduction to probability theory, and in particular, those parts that are used in statistics. This volume discusses the law of large numbers for independent and non-independent random...
10th edition. — New York: Pearson, 2021. — 563 p. For one- or two-semester courses in Probability, Probability & Statistics, or Mathematical Statistics.An authoritative introduction to an in-demand fieldAdvances in computing technology – particularly in science and business – have increased the need for more statistical scientists to examine the huge amount of data being...
9th Edition. — New York: Pearson, 2014. — 557 p. Written by three veteran statisticians, this applied introduction to probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book continues to reinforce...
Pearson, 2015. — 556 p. — 9th ed. — ISBN: 0321923278, 9780321923271 Written by three veteran statisticians, this applied introduction to probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book...
Springer, 2020. — 377 p. — ISBN: 978-3-030-56773-6. This volume is a tribute to Professor Dietrich von Rosen on the occasion of his 65th birthday. It contains a collection of twenty original papers. The contents of the papers evolve around multivariate analysis and random matrices with topics such as high-dimensional analysis, goodness-of-fit measures, variable selection and...
Singapore: World Scientific, 2017. — 432 p. Probability and Statistics have been widely used in various fields of science, including economics. Like advanced calculus and linear algebra, probability and statistics are indispensable mathematical tools in economics. Statistical inference in economics, namely econometric analysis, plays a crucial methodological role in modern...
CRC Press, 2017. — 207 p. — (Continuous Improvement Series). — ISBN10: 1138035076. — ISBN13: 978-1138035072. This book is for those that hae struggled with the concept of statistics, have a genuine fear of data, and think the world of continuous improvement and experimentation is designed for few to understand. This book answers the question, why can't every operator,...
No source data, 2022. — 108 p. Definitions and Axioms. Counting Arguments. Conditional Probability. Discrete Random Variables. Game Theory. Continuous Random Variables. Maximum Likelihood Estimators. Simulating a Random Process. Hypothesis Testing. Application to Finance.
4th. Edition — McGraw-Hill, 2020. — 434 p. — ISBN: 1260453812 Publisher's Note: Products purchased from Third-party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product. Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there’s Schaum’s. More than 40 million students have trusted...
Geneva: CERN, 1963. — 103 p. This set of six lectures is a summary of some of principal results in the theory of random variables. The arguments used are based on the axioms of the theory of probability, which re presented in the classical way. Discrete and continuous distributions are defined, and at the end the chi2 and t distributions are evaluated. Moment generating...
Karlsruhe: KIT Scientific Publishing, 2022. — 224 p. This work proposes a probabilistic extension to Bézier curves as a basis for effectively modeling stochastic processes with a bounded index set. The proposed stochastic process model is based on Mixture Density Networks and Bézier curves with Gaussian random variables as control points. A key advantage of this model is given...
Cambridge: Cambridge University Press, 2017. — 239 p. According to Bayesian epistemology, rational learning from experience is consistent learning, that is learning should incorporate new information consistently into one's old system of beliefs. Simon M. Huttegger argues that this core idea can be transferred to situations where the learner's informational inputs are much more...
Springer, 2012. — 322 p. The aim of" the present monograph is two-fold: (a) to give a short account of the main results concerning the theory of random systems with complete connections, and (b) to describe the general learning model using random systems with complete connections. The notion of a chain with complete connections has been introduced in probability theory by...
Unpublished, 2015. — 358 p. Mathematical and methodological introduction to multivariate statistical analytics, including linear models, principal components, covariance structures, classification, and clustering, providing background for machine learning and big data study, with R.
Wiley, 2008. — 758 p. — ISBN: 0470383429, 9780470383421 Comprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: "to present the mathematical analysis underlying probability results" Special emphases on simulation and discrete decision theory Mathematically-rich, but self-contained text, at a gentle pace Review of...
John Wiley & Sons, 1987. — 238 p. Provides state-of-the-art coverage for the researcher confronted with designing and executing a simulation study using continuous multivariate distributions. Concise writing style makes the book accessible to a wide audience. Well-known multivariate distributions are described, emphasizing a few representative cases from each distribution....
Pearson, 2017. - 552 p. - ISBN 9th. Global edition For an introductory, one or two semester, or sophomore-junior level course in Probability and Statistics or Applied Statistics for engineering, physical science, and mathematics students. An Applications-Focused Introduction to Probability and Statistics Miller & Freund's Probability and Statistics for Engineers is rich in...
Berlin: Walter de Gruyter GmbH, 2018. — 436 p. — ISBN: 978-1-5015-0606-2. Random Number Generators, Principles and Practices has been written for programmers, hardware engineers, and sophisticated hobbyists interested in understanding random numbers generators and gaining the tools necessary to work with random number generators with confidence and knowledge. Using an approach...
New York: Routledge, 2019. — 500 p. Introduction and objectives Why write this book? Who might find it useful? Why five volumes? Why write this series? Who might find it useful? Why five volumes? Features you'll find in this book and others in this series The lighter side (humour) Quotations Definitions Discussions and explanations with a mathematical slant for Formula-philes...
New York: Routledge, 2017. — 316. This volume in the Working Guides to Estimating Series considers risk and uncertainty and how to model them, including the ubiquitous Monte Carlo Simulation. The text opens with a consideration of design and development activities; where you might be able to exploit an empirical pattern of behaviour; the properties of a Norden-Rayleigh Curve...
New York: Springer, 1982. — 196 p. Basic properties Related distributions Maximum Likelihood Estimation Inference The hazard function. Lifetime models Examples
World Scientific, 2022. — 391 p. Permutation and Combination. Permutations. Combinations. Basic Principles of Counting. Binomial and Multinomial Coefficients. Occupancy Problems. Combinatorial Generating Functions. Exploring with Mathematica. Axioms of Probability. Sample Space, Events, and Sets. Axioms of Probability. Sample Space Having Equally Likely Outcomes. The Importance...
Oxford University Press, 2009. — 649 p. — ISBN 978–0–19–923257–4. Stochastic Geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, their probability theory, and the challenging problems raised by their statistical analysis. It has grown rapidly in...
G. Jay Kerns, 2010. - 386 p. This book was expanded from lecture materials I use in a one semester upper-division undergraduate course entitled Probability and Statistics at Youngstown State University. Those lecture materials, in turn, were based on notes that I transcribed as a graduate student at Bowling Green State University. The course for which the materials were written...
Springer, 2004. — 358 p. — (Encyclopaedia of Mathematical Sciences 110). — ISBN: 978-3-642-05647-5. Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one,...
Basel: Mdpi AG, 2019. — 278 p. The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy...
Cambridge: Cambridge University Press, 1983. — 300 p. This collection of papers is dedicated to David Kendall, the topics will interest postgraduate and research mathematicians. The asymptotic speed and shape of a particle system. On doubly stochastic population processes. On limit theorems for occupation times. The Martin boundary of two-dimensional Ornstein-Uhlenbeck...
John Wiley & Sons, Inc.2009 This book has been written to provide instructors with material on important topics in probability and statistics so that they may be included in introductory courses. In addition, it provides instructors with examples that go beyond those commonly used. These examples have been developed from author's long experience with students and with teachers...
Second Edition. — N.-Y.: Wiley, 2014. — 480 p. — ISBN: 978-1118947081. Praise for the First Edition: "This is a well-written and impressively presented introduction to probability and statistics. The text throughout is highly readable, and the author makes liberal use of graphs and diagrams to clarify the theory." - The Statistician. Thoroughly updated, Probability: An...
Elsevier, 2005. — 490 p. This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory,...
Unpublished, 2008. — 382 p. These notes grew from an introduction to probability theory taught during the first and second term of 1994 at Caltech. There was a mixed audience of undergraduates and graduate students in the first half of the course which covered Chapters 2 and 3, and mostly graduate students in the second part which covered Chapter 4 and two sections of Chapter 5....
Cambridge University Press, 2012. — 812 p. Together with the fundamentals of probability, random processes, and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation,...
The MIT Press. 2022. 690 p. This book provides a broad introduction to algorithms for decision-making under uncertainty. It covers a wide variety of topics related to decision making, introducing the underlying mathematical problem formulations and the algorithms for solving them. All algorithms are implemented in the Julia programming language.
New York: Springer, 2017. — 374 p. The best suited approaches for practical system dependability modeling and calculation, (1) the minimal cut approach, (2) the Markov process approach, and (3) the Markov minimal cut approach as a combination of (1) and (2) are described in detail and applied to several examples. The stringently used Boolean logic during the whole development...
Boca Raton: CRC Press, 2000. — 226 p. Users of statistics in their professional lives and statistics students will welcome this concise, easy-to-use reference for basic statistics and probability. It contains all of the standardized statistical tables and formulas typically needed plus material on basic statistics topics, such as probability theory and distributions,...
2nd ed. — John Wiley & Sons, Inc., 2006. — 9518 p. — ISBN: 0471150444, 9780471150442. Countless professionals and students who use statistics in their work rely on the multi-volume Encyclopedia of Statistical Sciences as a superior and unique source of information on statistical theory, methods, and applications. This new edition (available in both print and online versions) is...
Basel: Birkhäuser, 2001. — 357 p. The aim of this monograph is quite modest: It attempts to be a systematic exposition of all that appeared in the literature and was known to us by the end of the 20th century about the Laplace distribution and its numerous generalizations and extensions. We have tried to cover both theoretical developments and applications. There were two main...
Cambridge: Cambridge University Press, 2004. — 285 p. excellent comprehensive monograph on multivariate t distributions, with numerous references. this is the only book focusing exclusively on this topic that i'm aware of. similar in quality and depth to the "discrete/continuous univariate/multivariate distributions" series by Samuel Kotz, N. Balakrishnan, and Norman L....
Springer International Publishing AG, 2018. — 104 p. — (SpringerBriefs in Probability and Mathematical Statistics). — ISBN: 3319770187. This book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling. In conjunction with large deviations estimates, the aggregate path...
Berlin: Springer, 2017. — 264 p. Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic...
Boca Raton: CRC Press, 1996. — 397 p. Learn the basics of white noise theory with White Noise Distribution Theory. This book covers the mathematical foundation and key applications of white noise theory without requiring advanced knowledge in this area. This instructive text specifically focuses on relevant application topics such as integral kernel operators, Fourier...
Springer, 2023. — 373 p. This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as...
New York: Springer, 2017. — 301 p. Three coherent parts form the material covered in this text, portions of which have not been widely covered in traditional textbooks. In this coverage the reader is quickly introduced to several different topics enriched with 175 exercises which focus on real-world problems. Exercises range from the classics of probability theory to more...
Hoboken: Wiley, 1991. — 664 p. Discusses probability theory and to many methods used in problems of statistical inference. The Third Edition features material on descriptive statistics. Cramer-Rao bounds for the variance of estimators, two-sample inference procedures, bivariate normal probability law, F-Distribution, and the analysis of variance and non-parametric procedures....
N.-Y.: Springer, 2013. - 303 p. „Between Certainty & Uncertainty is a one-of–a-kind short course on statistics for students, engineers and researchers. It is a fascinating introduction to statistics and probability with notes on historical origins and 80 illustrative numerical examples organized in the five units: · Chapter 1 Descriptive Statistics: Compressing small samples,...
Springer, 2019. — 361 p. — (Undergraduate Lecture Notes in Physics). — ISBN: 978-3-030-04542-5. This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified...
Springer, 2022. — 408 p. — (Graduate Texts in Mathematics, 295). — ISBN: 3031142047. This textbook introduces readers to the fundamental notions of modern probability theory. The only prerequisite is working knowledge of real analysis. Highlighting the connections between martingales and Markov chains on one hand, and Brownian motion and harmonic functions on the other, this...
Cambridge University Press, 2014. — 376 p. Originating from the authors' own graduate course at the University of North Carolina, this material has been thoroughly tried and tested over many years, making the book perfect for a two-term course or for self-study. It provides a concise introduction that covers all of the measure theory and probability most useful for...
Publisher: Springer; 2011 edition (August 3, 2011), Paperback: 115 p., ISBN10: 1441994998 ISBN13: 978-1441994998 Written by the pre-eminent E. L Lehman Examines the history of statistics through the personal and professional relationships of Neyman and Fisher, two of the discipline's most influential contributors Creates a personal account of the creation of hypothesis testing,...
Amsterdam: Elsevier, 2016. — 145 p. The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and...
Berlin: Springer, 2011. — 707 p. This volume is a collection of papers presented at the international conference on Nonlinear Mathematics for Uncertainty and Its Applications (NLMUA2011), held at Beijing University of Technology during the week of September 7--9, 2011. The conference brought together leading researchers and practitioners involved with all aspects of nonlinear...
World Scientific, 2014. — 185 p. The book is devoted to the theory of weak convergence of probability measures on metric spaces. There are many books concerning the weak convergence, for example, Ethier and Kurtz (1986), van der Vaart and Wellner (1996), Billingsley (1999), Jacod and Shiryaev (2003) and so on. The emphasis of these books are different. Statistics and...
Walter de Gruyter GmbH, Berlin, Boston, 2016. — 411 p. — ISBN10: 3110466171. This book provides a clear, precise, and structured introduction to stochastics and probability theory. It includes many descriptive examples, such as games of chance, which help promote understanding. Thus, the textbook is not only an ideal accompaniment to courses as an introduction to probability...
2nd. ed. - Berlin: Walter de Gruyter, 2024. - 500 p. - (De Gruyter Textbook). - ISBN: 3111324842. This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author’s 25 years of experience teaching probability and is aimed at helping students...
De Gruyter, 2016. — 411 p. — (De Gruyter Graduate). — ISBN13: 9783110466171. This book provides a clear, precise, and structured introduction to stochastics and probability theory. It includes many descriptive examples, such as games of chance, which help promote understanding. Thus, the textbook is not only an ideal accompaniment to courses as an introduction to probability...
Cambridge University Press, 1980. - 306 p. ISBN: 0521298660, 0521055636 The two parts of this book treat probability and statistics as mathematical disciplines and with the same degree of rigour as is adopted for other branches of applied mathematics at the level of a British honours degree. They contain the minimum information about these subjects that any honours graduate in...
London: College Publications, 2009. — 230 p. Probabilistic methods are increasingly becoming an important tool in a variety of disciplines including computer science, mathematics, artificial intelligence, epistemology, game and decision theory and linguistics. In addition to the discussion on applications of probabilistic methods there is an important philosophical debate...
De Gruyter, 2024. — 310 p. Periodically stationary multi-seasonal increments of stochastic sequences. Extrapolation of sequences with periodically stationary increments. Extrapolation of sequences with periodically stationary increments observed with noise. Interpolation of sequences with periodically stationary increments observed with or without noise. Filtering of sequences...
N.-Y.: Morgan & Claypool Publishers, 2011. - 87 p. Analytical reasoning techniques are methods by which users explore their data to obtain insight and knowledge that can directly support situational awareness and decision making. Recently, the analytical reasoning process has been augmented through the use of interactive visual representations and tools which utilize cognitive,...
Wiley-ISTE, 2020. — 297 p. — ISBN: 978-1-119-70691-5. This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can...
Cambridge, UK: Cambridge University Press, 2011. — 354 p. — (London Mathematical Society Lecture Note Series 389). — ISBN: 0521175615. Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent...
New York: JMASM, 2003. - 12 p. The author discusses some promising new random number generators, as well as formulates the mathematical basis that makes them random variables in the same sense as more familiar ones in probability and statistics, emphasizing his view that randomness exists only in the sense of mathematics. He discusses the need for adequate seeds that provide...
Math Wizo, 2019. — 62 p. — ISBN: 9781793436788. (Content Guide Included. Book 2). Master All Areas of Statistics With Content + 50 Fully Solved Equations… In this introductory guide, you will easily learn: An overview on data sampling The calculation of measures of central tendency (mean, median, mode, and range). How to calculate the measure of data dispersion (standard...
Berlin: Walter De Gruyter, 2017. — 604 p. — (De Gruyter Textbook). This book offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers and scientists, the book also covers applied topics such as...
New York: Springer, 1995. — 384 p. The book deals with bilinear forms in real random vectors and their generalizations as well as zonal polynomials and their applications in handling generalized quadratic and bilinear forms. The book is mostly self-contained. It starts from basic principles and brings the readers to the current research level in these areas. It is developed...
CRC Press, Inc., 2021. — 444 p. – (Texts in Statistical Science Series). — ISBN: 978-1584889397. Probability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modeling. It presents these topics in an accessible...
Cham: Birkhäuser, 2022. — 418 p. — (Trends in the History of Science). — ISBN: 978-3-031-05988-9. Over the past eighty years, martingales have become central in the mathematics of randomness. They appear in the general theory of stochastic processes, in the algorithmic theory of randomness, and in some branches of mathematical statistics. Yet little has been written about the...
Cambridge University Press, 2014. — 488 p. — ISBN: 9781107053212 Probability theory has been extraordinarily successful at describing a variety of phenomena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss'...
Taylor & Francis Group, LLC, 2017. — 251 p. — ISBN: 1482225662 "This is a great overview of the field of model-based clustering and classification by one of its leading developers. McNicholas provides a resource that I am certain will be used by researchers in statistics and related disciplines for quite some time. The discussion of mixtures with heavy tails and asymmetric...
2nd Edition. — Wiley, 2017. — 631 p. — (Wiley Series in Probability and Statistics). — ISBN 978-0-471-68717-7. Describes statistical intervals to quantify sampling uncertainty,focusing on key application needs and recently developed methodology in an easy-to-apply format. Statistical intervals provide invaluable tools for quantifying sampling uncertainty. The widely hailed...
15th edition. — CENGAGE Learning Custom Publishing, 2018. — 788 p. — ISBN: 9780357114469. Used by hundreds of thousands of students since its first edition, Introduction to Probability and Statistics: Metric Version, 15th Edition , continues to blend the best of its proven, error-free coverage with new innovations. Written for the traditional Introductory Statistics course, the...
15th Edition. — Cengage, 2020. — 786 p. — ISBN: 978-0-357-11446-9. The skill of statistical thinking is increasing in importance in this predominantly data-driven world. With Mendenhall, Beaver and Beaver's Introduction to Probability and Statistics, 15th Edition, you will be able to describe real sets of data meaningfully, what the statistical tests mean in terms of their...
Duxbury Press, 2012. – 744 p. in color – 14th Edition – ISBN: 1133103758, 9781133103752. Used by hundreds of thousands of students, Introduction to Probability and Statistics, Fourteenth Edition, blends proven coverage with new innovations to ensure you gain a solid understanding of statistical concepts-and see their relevance to your everyday life. The new edition retains the...
Brook/Cole, 2008. - 768 p. 13 edition Used by hundreds of thousands of students, market-leading "Introduction to Probability and Statistics", Thirteenth Edition, blends proven coverage with new innovations to ensure you gain a solid understanding of statistical concepts-and see their relevance to your everyday life. The new thirteenth edition retains the text's straightforward...
3rd Canadian Edition. — Nelson Education Ltd., 2014. — 823 p. — ISBN13: 9780176509804. INTRODUCTION TO PROBABILITY AND STATISTICS is one of the first texts published by Duxbury and has been blending innovation with tradition for over thirty years. It was the first statistics text to include case studies in it, and now in the eleventh edition, this text is the first to include...
6th Edition. – Taylor & Francis Group, LLC, 2017. — 458 p. — ISBN: 1498731821 A companion to Mendenhall and Sincich’s Statistics for Engineering and the Sciences, Sixth Edition, this student resource offers full solutions to all of the odd-numbered exercises. Descriptive Statistics Probability Discrete Random Variables Continuous Random Variables Bivariate Probability...
Springer, 2019. — 253 p. – ISBN: 978-3-030-31573-3. This book is the second edition of Numerical methods for diffusion phenomena in building physics: a practical introduction originally published by PUCPRESS (2016). It intends to stimulate research in simulation of diffusion problems in building physics, by providing an overview of mathematical models and numerical techniques...
Springer, 2018. — 141 p. This book presents two new decomposition methods to decompose a time series in intrinsic components of low and high frequencies. The methods are based on Singular Value Decomposition (SVD) of a Hankel matrix (HSVD). The proposed decomposition is used to improve the accuracy of linear and nonlinear auto-regressive models. Linear Auto-regressive models...
Oxford University Press, 2019. — 489 p. Functional Gaussian Approximation for Dependent Structures develops and analyzes mathematical models for phenomena that evolve in time and influence each other. It provides a better understanding of the structure and asymptotic behavior of stochastic processes. Two approaches are taken. Firstly, the authors present tools for dealing with...
SAGE Publications, 2007. — 261 p. This book takes a fresh look at applying regression analysis in the behavioural sciences by introducing the reader to regression analysis through a simple model-building approach. The authors start with the basics and begin by re-visiting the mean, and the standard deviation, with which most readers will already be familiar, and show that they...
Princeton University Press, 2015. — 465 p. — ISBN: 978-0-691-14761-1. Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from electricity bills and street addresses to stock prices, population numbers, mortality rates, and the lengths of...
Ruver Edge: World Scientific, 2002. — 558 p. This text deals with different modern topics in probability, statistics and operations research. Wherever necessary, the theory is explained in great detail, with illustrations. Numerous references are given, in order to help young researchers who want to start their work in a particular area. The contributors are distinguished...
Wiley, 2013. — 836 p. — 6th ed. — ISBN: 1118539710, 9781118539712 This best-selling engineering statistics text provides a practical approach that is more oriented to engineering and the chemical and physical sciences than many similar texts. It is packed with unique problem sets that reflect realistic situations engineers will encounter in their working lives. This text shows...
Wiley, 2010. - 784 p. 5th Edition Montgomery and Runger's bestselling engineering statistics text provides a practical approach oriented to engineering as well as chemical and physical sciences. By providing unique problem sets that reflect realistic situations, students learn how the material will be relevant in their careers. With a focus on how statistical tools are...
7th ed. — Wiley, 2018. — 710 p. in color. — ISBN: 9781119400301. Applied Statistics and Probability for Engineers provides a practical approach to probability and statistical methods. Students learn how the material will be relevant in their careers by including a rich collection of examples and problem sets that reflect realistic applications and situations. This product...
Third Edition. - Wiley, 2003. - 822 p. This is an introductory textbook for a first course in applied statistics and probability for undergraduate students in engineering and the physical or chemical sciences. These individuals play a significant role in designing and developing new products and manufacturing systems and processes, and they also improve existing systems....
3rd Edition. — John Wiley & Sons, Inc., 2003. — 157 p. The purpose of this ‘‘Student Solutions Manual’’ is to provide you with additional help in understanding the problem-solving processes presented in ‘‘Applied Statistics and Probability for Engineers.’’ The ‘‘Applied Statistics’’ text includes a section entitled ‘‘Answers to Selected Exercises,’’ which contains the final...
N.-Y.: Springer, 2013. - 256 p. The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable. In this book, we examine cases where...
CRC Press, 2000. – 690 p. – ISBN: 0824703790, 9780824703790. Priced very competitively compared with other textbooks at this level! This gracefully organized textbook reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate...
Springer, 2024. — 190 p. — (Transactions on Computer Systems and Networks). – ISBN: 978-981-99-4660-0. This textbook summarizes the different statistical, scientific, and financial data analysis methods for users ranging from a high school level to a professional level. It aims to combine the data analysis methods using three different programs — Microsoft Excel, SPSS, and...
2nd Edition. — Springer Nature, 2024. — 180 p. — ISBN-13: 978-981-99-4660-0. This textbook summarizes the different statistical, scientific, and financial data analysis methods for users ranging from a high school level to a professional level. It aims to combine the data analysis methods using three different programs — Microsoft Excel, SPSS, and MatLAB. The book combining the...
Springer Cham, 2023. — 189 p. — eBook ISBN: 978-3-031-38416-5. This book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering, and...
New York: Springer, 1995. — 590 p. — ISBN: 9780387944524, 0387944524. This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modeling. The author's aim is to derive probability theory in a way that highlights the complementary nature of its formal, intuitive, and...
Nova Science Publishers, Inc., 2021. — 252 p. — ISBN: 1536191736. This book is written for people who are interested to know the basics of probability theory. The basic knowledge of high school math will be enough to know the probability theory covered in the book. It covers basic theories of probability, statistical distributions, order statistics, and record values, The use...
Basel: Birkhäuser, 2010. — 435 p. This volume — dedicated to William Q. Meeker on the occasion of his sixtieth birthday — is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics, and finance. Specific...
Boca Raton: CRC Press, 2022. — 260 p. Martingale Methods in Statistics provides a unique introduction to statistics of stochastic processes written with the author’s strong desire to present what is not available in other textbooks. While the author chooses to omit the well-known proofs of some of the fundamental theorems in martingale theory by making clear citations instead,...
Springer, 2020. — 342 p. — (Springer Series in Operations Research and Financial Engineering). — ISBN: 978-3-030-52915-4. This textbook highlights the many practical uses of stable distributions, exploring the theory, numerical algorithms, and statistical methods used to work with stable laws. Because of the author’s accessible and comprehensive approach, readers will be able...
Cambridge: Cambridge University Press, 2012. — 256 p. Stein's method is a collection of probabilistic techniques that allow one to assess the distance between two probability distributions by means of differential operators. In 2007, the authors discovered that one can combine Stein's method with the powerful Malliavin calculus of variations, in order to deduce quantitative...
Cambridge University Press, 2018. — 250 p. — ISBN: 978-1-107-03912-4. This textbook offers a compact introductory course on Malliavin calculus, an active and powerful area of research. It covers recent applications, including density formulas, regularity of probability laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and...
CRC, 2009. — 1056 p. Many of the problems that engineers face involve randomly varying phenomena of one sort or another. However, if characterized properly, even such randomness and the resulting uncertainty are subject to rigorous mathematical analysis. Taking into account the uniquely multidisciplinary demands of 21st-century science and engineering, Random Phenomena:...
Wiley, 2012. – 573 p. – 2nd Ed. – ISBN: 0470889748, 9780470889749 Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop...
Routledge 2023. — 204 p. — eBook ISBN: 978-3-031-07865-1. Simply stated, this book bridges the gap between statistics and philosophy. It does this by delineating the conceptual cores of various statistical methodologies (Bayesian/frequentist statistics, model selection, machine learning, causal inference, etc.) and drawing out their philosophical implications. Portraying...
Cambridge University Press, 2019. — 492 p. — (Cambridge Monographs on Applied and Computational Mathematics, 35). — ISBN: 978-1-108-48436-7. Although numerical approximation and statistical inference are traditionally covered as entirely separate subjects, they are intimately connected through the common purpose of making estimations with partial information. This book explores...
Berlin: Springer, 2011.— 490 p. Real-life problems are often quite complicated and, for centuries, Mathematics has provided the necessary tools and ideas to formulate these problems mathematically and then help in solving them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines...
CRC Press, Manakin Press, 2023. — 427 p. This book is primarily a book on advanced probability and statistics that could be useful for undergraduate and postgraduate students of physics, engineering, and applied mathematics who desire to learn about the applications of classical and quantum probability to problems of classical physics, signal processing, and quantum physics and...
AoPS Incorporated, 2018. — 386 p. — ISBN: 9781934124062, 1934124060. Learn the basics of counting and probability from former USA Mathematical Olympiad winner David Patrick. Topics covered in the book include permutations, combinations, Pascal's Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem,...
2nd Edition. — Alpine, USA: AoPS Incorporated, 2012. — 290 p. — ISBN: 1934124060. AoPS 2-Book Set : Art of Problem Solving AoPS Intermediate Counting and Probability Textbook and Solutions Manual 2-Book Set : Continue your exploration of more advanced counting and probability topics from former USA Mathematical Olympiad winner David Patrick. This book is the follow-up to the...
Textbook. — Alpine, CA: AOPS Incorporated, 2012. — 208 p. — ISBN: 978-1-934124-07-9. This book contains the full solution, not just answers, of the exercises and problems in the text Intermediate Counting and Probability . Sets and Logic A Piece of PIE Constructive Counting and 1-1 Correspondnces The Pigeonhole Principle Constructive Expectation Distributions Mathematical...
Kluwer Academic Publishers, 1989. — 156 p. General Questions of the Distribution Theory in Banach Spaces Some Questions of Non-Linear Analysis The Central Limit Theorem in Banach Spaces Gaussian Measure of ε-Strip of Some Sets Estimates of Rate of Convergence in the Central Limit Theorem
2nd edition. — Cambridge University Press, 2009. — 487 p. Written by one of the preeminent researchers in the field, this book provides a comprehensive exposition of modern analysis of causation. It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence, economics,...
The MIT Press, 2017. — 288 p. — (Adaptive Computation and Machine Learning series). — ISBN10: 0262037319; ISBN13: 978-0262037310. A concise and self-contained introduction to causal inference, increasingly important in data science and machine learning.
Academic Press, 2017. - 189 p. - ISBN: 012809818X Inequalities play a fundamental role in mathematics and its many applications. Especially in the statistics and probability literature, there are many more limit theorems than inequalities. However, usually at the heart of a good limit theorem is at least one good inequality. This should become clear if one recalls the definition...
Kappa Research, LLC, 2014. — 1007 p. This book introduces students to probability, statistics, and stochastic processes. It can be used by both students and practitioners in engineering, various sciences, finance, and other related fields. It provides a clear and intuitive approach to these topics while maintaining mathematical accuracy. The book covers: Basic concepts such as...
Monograph. — Sunderland, Massachusetts (US): Kappa Research LLC, 2016. — VI, 212 p. Since the 2014 publication of Introduction to Probability, Statistics, and Random Processes, many have requested the distribution of solutions to the problems in the textbook. This book contains guided solutions to the odd-numbered end-of-chapter problems found in the companion textbook....
New York: Springer, 2016. - 529 p. Collecting together twenty-three self-contained articles, this volume presents the current research of a number of renowned scientists in both probability theory and statistics as well as their various applications in economics, finance, the physics of wind-blown sand, queueing systems, risk assessment, turbulence and other areas. The...
World Scientific Publishing, 2018. — 305 p. This book provides a detailed exposition of the specific properties of methods of estimation and test in a wide range of models with changes. They include parametric and nonparametric models for samples, series, point processes and diffusion processes, with changes at the threshold of variables or at a time or an index of sampling....
New York: Springer, 2021. — 113 p. This book introduces readers to Bayesian optimization, highlighting advances in the field and showcasing its successful applications to computer experiments. R code is available as online supplementary material for most included examples so that readers can better comprehend and reproduce methods. Compact and accessible, the volume is broken...
New York: Academic Press, 1992. — 256 p. The problem of identifiability is basic to all statistical methods and data analysis, occurring in such diverse areas as Reliability Theory, Survival Analysis, and Econometrics, where stochastic modeling is widely used. Mathematics dealing with identifiability per se is closely related to the so-called branch of "characterization...
Unpublished, 2017. - 532 p. Stochastic and Markovian modeling are of importance to many areas of science including physics, biology, engineering, as well as in economics, finance, and social sciences. This text is an undergraduate-level introduction to the Markovian modeling of time-dependent randomness in discrete and continuous time, mostly on discrete state spaces. The...
Unpublished, 2017. - 322 p. This monograph is an introduction to some aspects of stochastic analysis in the framework of normal martingales, in both discrete and continuous time. The text is mostly self-contained, except for Section 5.7 that requires some background in geometry, and should be accessible to graduate students and researchers having already received a basic...
Cambridge University Press, 2019. — 476 p. — ISBN: 978-1-108-48053-6. This friendly guide is the companion you need to convert pure mathematics into understanding and facility with a host of probabilistic tools. The book provides a high-level view of probability and its most powerful applications. It begins with the basic rules of probability and quickly progresses to some of...
Oxford: Pergamon Press, 1984. — 472 — ISBN: 0080291481, 9780080291482. Probability Theory and Mathematical Statistics for Engineers focuses on the concepts of probability theory and mathematical statistics for finite-dimensional random variables. The book underscores the probabilities of events, random variables, and numerical characteristics of random variables. Discussions...
Academic Press, 2017. — 178 p. — ISBN: 978-0-12-804676-0. Heavy tailed data appears frequently in social science, internet traffic, insurance and finance. Statistical inference has been studied for many years, which includes recent bias-reduction estimation for tail index and high quantiles with applications in risk management, empirical likelihood based interval estimation for...
Springer, 2016. — 386 p. This book is primarily aimed at graduate students of statistics, mathematics, science and engineering who have had an undergraduate course in statistics, an upper division course in analysis and some acquaintance with measure theoretic probability. We have often taught courses based on it with very little emphasis on measure theory. Part I is designed...
London: Wiley-ISTE, 2022. — 255 p. This book is devoted to the study of stochastic measures (SMs). An SM is a sigma-additive in probability random function, defined on a sigma-algebra of sets. SMs can be generated by the increments of random processes from many important classes such as square-integrable martingales and fractional Brownian motion, as well as alpha-stable...
Springer, 2013. — 120 p. — ISBN: 8132207629. This work is an overview of statistical inference in stationary, discrete time stochastic processes. Results in the last fifteen years, particularly on non-Gaussian sequences and semi-parametric and non-parametric analysis have been reviewed. The first chapter gives a background of results on martingales and strong mixing sequences,...
2nd edition. — CRC Press, 2005. — 506 p. In response to unanswered difficulties in the generalized case of conditional expectation and to treat the topic in a well-deservedly thorough manner, M.M. Rao gave us the highly successful first edition of Conditional Measures and Applications. Until this groundbreaking work, conditional probability was relegated to scattered journal...
Toshqent: O‘zbekiston faylasuflari milliy jamiyati nashriyoti, 2006. — 272 b. Ushbu darslikda «Ehtimollar nazariyasi va matematik statistika» fanining «tasodifiy hodisalar», «tasodifiy miqdorlar va ularning funksiyalari» va «matematik statistika» qismlari o‘z aksini topgan. Darslikda ehtimollar nazariyasi va matematik statistika kursining amaliy mashg‘ulotlarida zamonaviy...
Data Deft, 2019. — 56 p. — ASIN B07N18VT5C. I haven't attended any formal education in probability & statistics, whatever I have learnt in bits and pieces till now is through working on data science problems. When I look at the literature available on probability & statistics, I find it too theoretical and generalized. I have felt that there should be some literature on...
New York: Springer, 2007. — 412 p. This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic, and statistical tools used in the heavy-tail analysis. Heavy tails are characteristic of many phenomena where the probability of a single huge value impacts heavily. Record-breaking insurance losses, financial-log returns, files sizes stored on a...
Revised edition. — North Holland, 1984. — 374 p. This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory,...
River Publishers, Routledge, 2023. — 548 p. Probabilistic Logic Programming extends Logic Programming by enabling the representation of uncertain information using probability theory. Probabilistic Logic Programming is at the intersection of two wider research fields: the integration of logic and probability and Probabilistic Programming. Logic enables the representation of...
New York: River Publishers, 2019. — 424 p. Probabilistic Logic Programming extends Logic Programming by enabling the representation of uncertain information by means of probability theory. Probabilistic Logic Programming is at the intersection of two wider research fields: the integration of logic and probability and Probabilistic Programming. Logic enables the representation...
2nd Edition. — River Publishers, 2023. — 548 p. — (River Publishers Series in Software Engineering). — ISBN: 978-87-7022-719-3. The computational foundations of Artificial Intelligence (AI) are supported by two comer stones: logic and Machine Leaming. Computational logic has found its realization in several frameworks for logic-based approaches to knowledge representation and...
Hoboken: Wiley, 2015. - 707 p. A well-balanced introduction to probability theory and mathematical statistics Featuring updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided intothree parts, the Third Edition begins by presenting the fundamentals and foundationsof...
Boca Raton: CRC Press, 1999. — 472 p. With this innovative text, the study-and teaching- of probability and random signals becomes simpler, more streamlined, and more effective. Its unique "textgraph" format makes it both student-friendly and instructor-friendly. Pages with a larger typeface form a concise text for basic topics and make ideal transparencies; pages with smaller...
New York: Dover Publications, 1992. — 206 p. This text developed from a series of courses in applied probability and optimization theory given by the author at the University of California at Berkeley. A prerequisite to its reading would be some familiarity with probability theory at the level of Volume I of Feller's well-known book. Ideally, this book would be used as a text...
Academic Press, 2020. - 704 p. - ISBN: 0128177462 6th.ed. Introduction to Probability and Statistics for Engineers and Scientists, Sixth Edition, uniquely emphasizes how probability informs statistical problems, thus helping readers develop an intuitive understanding of the statistical procedures commonly used by practicing engineers and scientists. Utilizing real data from...
Elsevier Science, 2014. — 730 p. — 5th ed. — ISBN: 0123948118, 9780123948113 Introduction to Probability and Statistics for Engineers and Scientists provides a superior introduction to applied probability and statistics for engineering or science majors. Ross emphasizes the manner in which probability yields insight into statistical problems ultimately resulting in an intuitive...
Third Edition — Elsevier Academic Press, 2004. — 624 p. The third edition of this book continues to demonstrate how to apply probability theory to gain insight into real, everyday statistical problems and situations. As in the previous editions, carefully developed coverage of probability motivates probabilistic models of real phenomena and the statistical procedures that...
6th Edition. — Academic Press, 2022. — xii, 320 p. — ISBN: 978-0-323-85739-0. In formulating a stochastic model to describe a real phenomenon, it used to be that one compromised between choosing a model that is a realistic replica of the actual situation and choosing one whose mathematical analysis is tractable. That is, there did not seem to be any payoff in choosing a model...
Springer, 2022. — 643 p. — (UNITEXT La Matematica per il 3+2 vol.139). — ISBN: 978-3-031-09428-6. This book presents in a compact form the program carried out in introductory statistics courses and discusses some essential topics for research activity, such as Monte Carlo simulation techniques, methods of statistical inference, best fit, and analysis of laboratory data. All...
2nd edition. — Academic Press, 2014. — 535 p. — ISBN: 978-0-12-800042-7. An Introduction to Measure-Theoretic Probability, Second Edition, employs a classical approach to teaching the basics of measure theoretic probability. This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics,...
Academic Press, 2003. - 523 p. ISBN10: 0125990200 Probability models, statistical methods, and the information to be gained from them is vital for work in business, engineering, sciences (including social and behavioral), and other fields. Data must be properly collected, analyzed and interpreted in order for the results to be used with confidence. Roussas introduces readers...
Singapore: World Scientific Publishing Company, 2013. — 404 p. The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices). The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with...
Cham: Springer, 2022. — 656 p. The book constitutes an introduction to stochastic calculus, stochastic differential equations, and related topics such as Malliavin calculus. On the other hand, it focuses on the techniques of stochastic integration and calculus via regularization initiated by the authors. The definitions rely on a smoothing procedure of the integrator process,...
University of Louisville, 2013. — 712 p. Probability of Events Conditional Probability and Bayes’ Theorem Random Variables and Distribution Functions Moments of Random Variables and Chebychev Inequality Some Special Discrete Distributions Some Special Continuous Distributions Two Random Variables Product Moments of Bivariate Random Variables Conditional Expectations of...
Butterworth-Heinemann, 2020. — 562 p. — ISBN: 978-0-12-816514-0. This Handbook carefully examines the application of advanced probabilistic models in conventional engineering fields. In this comprehensive handbook, practitioners, researchers and scientists will find detailed explanations of technical concepts, applications of the proposed methods, and the respective scientific...
Duxbury Press, 2010. — 818 p. "Probability and Statistics for Engineers" provides a one-semester, calculus-based introduction to engineering statistics that focuses on making intelligent sense of real engineering data and interpreting results. Traditional topics are presented thorough an accessible modern framework that emphasizes the statistical thinking, data collection and...
3rd ed. — Boston: Brooks/Cole, Cengage Learning, 2009. — 481 p. This text focuses on the utility of probability in solving real-world problems for students in a one-semester calculus-based probability course. The theory is developed to a practical degree and grounded in discussion of its practical uses in solving real-world problems. Numerous applications using up-to-date real...
New York: McGraw-Hill, 2012. - 433 p. Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 750 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring Math instructors who explain how to solve the most...
McGraw-Hill Companies, 2001. — 159 p. — ISBN: 0-07-139838-4. Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 750 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring Math instructors who explain...
New York: Dover Publications, 2005. — 230 p. Special Symbols Beginnings Menger, Developments Some Examples Šerstnev, Random Metric Spaces Topologies Tools Postscript Sets and Functions Functions on Intervals Probabilities, Integrals, Random Variables Binary Operations Metric and Related Spaces Isometries, Homotheties, Metric Transforms Betweenness Topological Structures Spaces...
Cambridge: Cambridge University Press, 2023. — 356 p. While the Poisson distribution is a classical statistical model for count data, the distributional model hinges on the constraining property that its mean equals its variance. This text instead introduces the Conway-Maxwell-Poisson distribution and motivates its use in developing flexible statistical methods based on its...
2nd ed. — Springer, 2024. — 622 p. — (University Texts in the Mathematical Sciences). — ISBN: 9819993628. This revised book provides an accessible presentation of concepts from probability theory, statistical methods, the design of experiments, and statistical quality control. It is shaped by the experience of the two teachers teaching statistical methods and concepts to...
Berlin: de Gruyter, 1998. — 377 p. The central limit theorem of probability theory asserts that, under some conditions, the distribution of a sum of random variables is approximated by the normal law. This allows us to consider in actual practice the normal distribution rather than the distribution of a sum of random variables. In other words, we can replace the distribution of...
Second Edition. — McGraw-Hill Education, 2011. — 318 p. — (Schaum's Outlines). — ISBN: 978-0071755610. More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all...
McGraw-Hill, 2021. - 318 p. - ISBN: 1264258844 3rd.ed Study smarter and stay on top of your probability course with the bestselling Schaum's Outline — now with the NEW Schaum's app and website! Schaum's Outline of Probability, Third Edition is the go-to study guide for help in probability courses. It's ideal for undergrads, graduate students, and professionals needing a tool...
Princeton: Princeton University Press, 1976. — 312 p. Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's...
Paris: Atlantis Press, 2016. - 300 p. Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by...
Unpublished, 2010. — 347 p. This is intended to be a second course in stochastic processes (at least!); I am going to assume you have all had a first course on stochastic processes, using elementary probability theory. You might then ask what the added benefit is of taking this course, of re-studying stochastic processes within the framework of measure-theoretic probability, a...
Springer, 2021. — 481 p. — ISBN13: 9783030562595. This book bridges the gap between theory and applications that currently exist in undergraduate engineering probability textbooks. It offers examples and exercises using data (sets) in addition to traditional analytical and conceptual ones. Conceptual topics such as one and two random variables, transformations, etc. are...
Berlin: NG Verlag, 2006. — 171 p. A first-ever scientific collection of short sayings on probability and statistics expressed by most various men of science, many classics included, from antiquity to Kepler to our time.
Unpublished, 2017. — 316 p. This book covers the history of probability up to Kolmogorov with essential additional coverage of statistics up to Fisher. Based on my work of ca. 50 years, it is the only suchlike book. Gorrochurn (2016) is similar but his study of events preceding Laplace is absolutely unsatisfactory. Hald (1990; 1998) are worthy indeed but the Continental...
ICOTS 3, 1990. The contents and structure of courses in probability theory and mathematical statistics. Proposals from some experts. Some characteristics of the teaching materials compiled recently. Concluding remarks.
Springer-Verlag New York, 2016 — 3rd Ed. — 486 p. — (Graduate Texts in Mathematics 95) — ISBN: 978-0-387-72206-1 (eBook), 978-0-387-72205-4 (Hardcover). This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the...
Springer, 2019. — 348 p. — (Springer Proceedings in Mathematics & Statistics 298). — ISBN I 978-981-15-0293-4. Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and...
Springer, 2019. — 271 p. — (Springer Proceedings in Mathematics & Statistics 299). — ISBN: 978-981-15-0297-2. Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues...
Springer, 2019. — 350 p. — (Springer Proceedings in Mathematics & Statistics 300). — ISBN: 978-981-15-0301-6. Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues...
World Scientific Publishing Co. Re. Ltd.2007. — 668 p. ISBN10: 9812709681. This volume presents the most recent applied and methodological issues in stochastic modeling and data analysis. The contributions cover various fields such as stochastic processes and applications, data analysis methods and techniques, Bayesian methods, biostatistics, econometrics, sampling, linear and...
Two Plus Two Publishing LLC, 2020. — 107 p. — ISBN: 978-1880685631. I wasn’t just trying to be cute when titling this book Probability and Statistics for 12-Year-Olds (and Maybe You). That title was chosen because I know that those students who hate, or are weak at math, have probably learned that the self-help math books that purport to be easy, actually aren’t. But this book...
Amsterdam: Springer, 1988. — 287 p. The papers collected here are, with three exceptions, those presented at a conference on probability and causation held at the University of California at Irvine on July 15-19, 1985. The exceptions are that David Freedman and Abner Shimony were not able to contribute the papers that they presented to this volume, and that Clark Glymour who...
Hoboken: Wiley, 1994. — 256 p. Hilbert Spaces Probability Theory Estimating Functions Orthogonality and Nuisance Parameters Martingale Estimating Functions and Projected Likelihood Stochastic Integration and Product Integrals Estimating Functions and the Product Integral Likelihood for Continuous Time Stochastic Processes Hilbert Spaces and Spline Density Estimation
Gdańsk: Wydawnictwo Politechniki Gdańskiej, 2004. — 202 s. — ISBN: 83-7348-086-2. Przedmowa. Przykłady i określenie zdarzeń losowych. Elementy algebry zdarzeń losowych. Aksjomatyczna i inne definicje prawdopodobieństwa. Prawdopodobieństwa warunkowe, twierdzenie Bayesa. Jednowymiarowe zmienne losowe. Zmienne losowe wielowymiarowe. Rozkłady łączne, brzegowe i warunkowe. Funkcje...
John Wiley & Sons, 2004. — 408 p. This book was written for an introductory one-semester or two-quarter course in probability and statistics for students in engineering and applied sciences. No previous knowledge of probability or statistics is presumed but a good understanding of calculus is a prerequisite for the material. The development of this book was guided by a number...
New York: Chapman and Hall/CRC, 2021. — 513 p. This book is a fresh approach to a calculus-based, first course in probability and statistics, using R throughout to give a central role to data and simulation. The book introduces probability with Monte Carlo simulation as an essential tool. Simulation makes challenging probability questions quickly accessible and easily...
6th Edition. — McGraw-Hill Education, 2018. — 600 p. — ISBN: 978-1-26-001147-0. Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey? Fortunately, there's Schaum's. This all-in-one-package includes more than 500 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos...
McGraw-Hill, 1998. — 376 p. The purpose of this book is to present a modern introduction to probability and statistics using background of calculus. For convenience the book is divided into two parts. The first deals with probability (and by itself can be used to provide an introduction to the subject), while the second deals with statistics. The book is designed to be used...
McGraw-Hill, 2008. - 432 p. Practice problems with full explanations that reinforce knowledge. Coverage of the most up-to-date developments in your course field. In-depth review of practices and applications. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!
Hoboken: Wiley, 2008. — 467 p. This concise, yet thorough, book is enhanced with simulations and graphs to build the intuition of readers Models for Probability and Statistical Inference was written over a five-year period and serves as a comprehensive treatment of the fundamentals of probability and statistical inference. With detailed theoretical coverage found throughout the...
4th ed. — Pearson, 2011. — 704 p. — ISBN: 978-0132311236. Probability, Statistics, and Random Processes for Engineers, 4e is a useful text for electrical and computer engineers. This book is a comprehensive treatment of probability and random processes that, more than any other available source, combines rigor with accessibility. Beginning with the fundamentals of probability...
Singapore: World Scientific Publishing Company, 2020. — 170 p. — (Problem Solving in Mathematics and Beyond, 17). — ISBN: 9811218153. Can we correctly predict the flip of a fair coin more than half the time — or the decay of a single radioactive atom? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be...
Princeton: Princeton University Press, 1994. — 565 p. A cornerstone of applied probability, Markov chains can be used to help model how plants grow, chemicals react, and atoms diffuse--and applications are increasingly being found in such areas as engineering, computer science, economics, and education. To apply the techniques to real problems, it is necessary to understand how...
John Wiley & Sons Ltd, UK, 2017. — 591 p. — (Wiley Series in Probability and Statistics) — ISBN: 9781119243489 Probability and Conditional Expectations bridges the gap between books on probability theory and statistics by providing the probabilistic concepts estimated and tested in analysis of variance, regression analysis, factor analysis, structural equation modeling,...
4th edition. — Oxford: Oxford University Press, 2020. — 682 p. Events and their probabilities. Events as sets. Probability. Conditional probability. Independence. Completeness and product spaces. Worked examples. Random variables and their distributions. Random variables. The law of averages. Discrete and continuous variables. Worked examples. Random vectors. Monte Carlo...
Sebtel Press, 2015. - 190 p. - ISBN: 0993367909. What does a medical test tell us about the chances of having a particular disease? How can we tell if a spoken phrase is, 'four candles' or 'fork handles'? How do we perceive a three-dimensional world from from the two-dimensional images on our retinas ? The short answer is Bayes' rule , which transforms meaningless statistics...
Harvard: Harvard University Press, 2006. — 430 p. While the subject of the book is undoubtedly brilliant the author lacks the ability to effectively communicate his ideas through the written word. While the subject is intriguing the book is not. While each sentence is properly composed and accurate, the stringing together of words is both inelegant and confusing leaving the...
Springer International Publishing AG, 2018. — 217 p. — (CRM Short Courses). — ISBN: 3319770373. This book gives a somewhat unconventional introduction to stochastic analysis. Although most of the material coveredhere has appeared in other places, this book attempts to explain the core ideas on which that material is based. As a consequence, the presentation is more an extended...
Cambridge: Cambridge University Press, 2020. — 76 p. Humans have been thinking in probabilistic terms since antiquity. They have been thinking systematically and philosophizing about probability since the seventeenth century. And they have been formalizing probability since the end of the nineteenth century. The twentieth century saw intense philosophical work done on...
World Scientific Publishing, 2018. — 137 p. — ISBN: 978-981-3228-25-2. This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current...
Cambridge University Press, 2005. - 373 p. Because probability and statistics are as much about intuition and problem solving, as they are about theorem proving, students can find it very difficult to make a successful transition from lectures to examinations and practice. Since the subject is critical in many modern applications, Yuri Suhov and Michael Kelbert have rectified...
2nd edition. — Cambridge University Press, 2014. — 461 p. Probability and statistics are as much about intuition and problem solving as they are about theorem proving. Consequently, students can find it very difficult to make a successful transition from lectures to examinations, to practice because the problems involved can vary so much in nature. Since the subject is critical...
Cambridge University Press, 2008. - 504 p. Probability and Statistics are as much about intuition and problem solving as they are about theorem proving. Because of this, students can find it very difficult to make a successful transition from lectures to examinations to practice, since the problems involved can vary so much in nature. Since the subject is critical in many...
Translated by Scripta Technica Inc. — Edited by B.R. Gelbaum. — Philadelphia; London; Toronto: W.B. Saunders Company, 1968. — 486 p. Students at all levels of study in the theory of probability and the theory of statistics will find in this book a broad and deep cross-section of problems (and their solutions) ranging from the simplest combinatorial probability problems in...
Dover Publications, 1979. — 491 p. — ISBN: 0486637174, 9780486637174 Series: Dover Books on Mathematics Sveshnikov gives a very brief introduction to each topic, with definitions and formulae presented without proofs, followed by a couple of worked examples, and a couple pages of problems. Answers to all problems are in the back, making it ideal for self-study. If you have not...
Boston: Pearson, 2014. — 383 p. Custom edition for the University of Victoria, edited 2014 by M. Lesperance. Descriptive Statistics Exercises Probability Examples Exercises Discrete Distributions Exercises Continuous Distributions Exercises Inference Single Sample Examples Exercises Inference Two Samples Exercises Solutions to Selected Exercises Statistical Tables Introduction...
Boca Raton: CRC Press, 2023. — 467 p. Energy distance is the statistical distance between the distributions of random vectors, which characterizes the equality of distributions. The name energy derives from Newton's gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions...
London: Springer, 1998. — 372 p. The Feynman-Kac Formula and Semigroups. Some Potential Theory. Some Principal Eigenvalue Estimates. The Method of Enlargement of Obstacles. Lyapunov Exponents. Quenched Path Measure and Pinning Effect. Overview, further Results and Problems.
New York: CreateSpace Independent Publishing Platform, 2012. — 657 p. This book is a collection of lectures on probability theory and mathematical statistics. It provides an accessible introduction to topics that are not usually found in elementary textbooks. It collects results and proofs, especially on probability distributions, that are hard to find in standard references...
Business Expert Press, 2015. — 284 p. If you are a business person, who desires to forecast demands and sales, or a researcher, who wishes to predict a future event, this textbook is for you. The book is also written for upper-division undergraduate students, first year MBA students, and other readers who wish to acquire fundamental knowledge of quantitative forecasting. A team...
Springer, 2008. - 315 p. This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001). Simon Tavaré’s lectures serve as an introduction to the coalescent, and to inference for ancestral processes in population genetics. The stochastic computation methods described include rejection methods, importance sampling, Markov chain Monte...
For Dummies, Wiley, 2022. — 499 p. — ISBN13: 9781119883593. Become more likely to succeed — gain stats mastery with Dummies. Statistics: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems from all the major topics covered in Statistics classes — in the book and online! Get extra help with tricky subjects, solidify what you’ve already...
Research & Education Assn, 2004. — 797 p. — ISBN: 087891515X, 9780878915156. The Problem Solvers are an exceptional series of books that are thorough, unusually well-organized, and structured in such a way that they can be used with any text. No other series of study and solution guides has come close to the Problem Solvers in usefulness, quality, and effectiveness. Educators...
Amsterdam: Springer, 1984. — 690 p. The first references to statistical extremes may perhaps be found in the Genesis (The Bible, vol. I): the largest age of Methu'selah and the concrete applications faced by Noah-- the long rain, the large flood, the structural safety of the ark --. But as the pre-history of the area can be considered to last to the first quarter of our...
Wiley, 2020. — 436 p. — ISBN: 978-0-470-68205-0. A much-needed reference on survey sampling and its applications that presents the latest advances in the field Seeking to show that sampling theory is a living discipline with a very broad scope, this book examines the modern development of the theory of survey sampling and the foundations of survey sampling. It offers readers a...
Berlin: Springer, 2012. - 152 p. The thesis deals with averaging dynamics in a multiagent networked system, which is a main mechanism for diffusing the information over such networks. It arises in a wide range of applications in engineered physical networks (such as mobile communication and sensor networks), as well as social and economic networks. The thesis provides in depth...
Wiley, 2001. — 867 p. An accessible introduction to probability, stochastic processes, and statistics for computer science and engineering applications This updated and revised edition of the popular classic relates fundamental concepts in probability and statistics to the computer sciences and engineering. The author uses Markov chains and other statistical tools to illustrate...
Second ed. — Wiley, 2016. — 869 p. — ISBN: 0471460818, 9780471460817. An accessible introduction to probability, stochastic processes, and statistics for computer science and engineering applications This updated and revised edition of the popular classic relates fundamental concepts in probability and statistics to the computer sciences and engineering. The author uses Markov...
N.-Y.: Springer, 2004. - 206 p. This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002). Tsirelson's lectures introduce the notion of nonclassical...
Singapore: World Scientific Publishing Co. Pte. Ltd.: 2008. — 204 p. The Three Parts of Everything Sources of Randomness Randomness in the Universe The Emergence of Real World The Role of Randomness
New York: Chapman & Hall, 1995. - 307 p. A review of basic probability theory Geometric probability Some applications of the hypergeometric and Poisson distributions Reliability theory Simulation and random numbers Convergence of sequences of random variables: the central limit theorem and the laws of large numbers Simple random walks Population genetics and Markov chains...
2nd edition. — New York: Taylor and Francis, 2017. — 309 p. This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering.The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered...
Springer International Publishing, Switzerland, 2016. – 252 p. – ISBN10: 3319281569 This book focuses on statistical methods for the analysis of discrete failure times. Failure time analysis is one of the most important fields in statistical research, with applications affecting a wide range of disciplines, in particular, demography, econometrics, epidemiology and clinical...
New York: Chapman and Hall/CRC, 2008. — 710 p. Designed for an intermediate undergraduate course, Probability and Statistics with R shows students how to solve various statistical problems using both parametric and nonparametric techniques via the open-source software R. It provides numerous real-world examples, carefully explained proofs, end-of-chapter problems, and...
New York; Toronto; London: McGraw-Hill Book Company, 1965. — 411 p. This book is an outgrowth of lectures on the theory of probability which the author has given at Stanford University for several years. At first a short mimeographed text covering only the elementary parts of the subject was used for the guidance of students. As time went on and the scope of the course was...
Edited by the author, 2011. 28 p. This cookbook is a must-have for learners. There are no elaborate explanations but concise representations of key concepts. It integrates a variety of topics in probability theory and statistics, providing useful tables with formulas and graphics. It is based on literature and in-class material from courses in the statistics department at the...
Cambridge: Cambridge University Press, 2009. — 302 p. The theory of empirical processes provides valuable tools for the development of asymptotic theory in (nonparametric) statistical models and makes it possible to give a unified treatment of various models. This book reveals the relation between the asymptotic behavior of M-estimators and the complexity of parameter space,...
Hoboken, New Jersey: A John Wiley & Sons, Inc., Publication, 2007. — 274 p. — ISBN: 978-0-470-14781-8. Parametric Models of Observations Distributions of Observations Precision and Accuracy Precise and Accurate Estimation Numerical Methods for Parameter Estimation Solutions or Partial Solutions to Problems
Cambridge University Press, 2017. — 338 p. — (Cambridge Series in Statistical and Probabilistic Mathematics). — ISBN: 978-1-107-17287-6. This rigorous introduction to network science presents random graphs as models for real-world networks. Such networks have distinctive empirical properties and a wealth of new models have emerged to capture them. Classroom tested for over ten...
CRC Press, 2023. — 474 p. — (Chapman & Hall/CRC The R Series). — eBook ISBN: 978-1-032-37804-6. Non-Homogeneous Markov Chains and Systems: Theory and Applications fulfills two principal goals. It is devoted to the study of non-homogeneous Markov chains in the first part, and to the evolution of the theory and applications of non-homogeneous Markov systems (populations) in the...
Chapman and Hall, 2017. — 158 p. — ISBN: 978-1498781084. What Makes Variables Random: Probability for the Applied Researcher provides an introduction to the foundations of probability that underlie the statistical analyses used in applied research. By explaining probability in terms of measure theory, it gives the applied researchers a conceptual framework to guide statistical...
3rd Edition. — Tata McGraw-Hill Education, 2008. — 612 p. — ISBN: 978-0-07-069956-4, 978-0-07-066925-3. This book with the right blend of theory and applications is designed to provide a thorough knowledge on the basic concepts of Probability, Statistics and Random Variables offered to the undergraduate students of engineering. Addition of important topics as per the syllabi...
Textbook. — Budapest: Budapest University of Technology and Economics, 2011. — 264 p. — ISBN: 978-963-279-448-8. This is an introductory textbook to probability theory and statistics with the usual material taught at most universities. Its special feature, however, is that it contains interactive simulation files. These files are important because the real-life meaning of most of...
Amer Mathematical Society, 2010. — 357 p. — ISBN: 0821848917, 9780821848913 This volume is based on lectures presented at the AMS Special Session on Algebraic Methods in Statistics and Probability-held March 27-29, 2009, at the University of Illinois at Urbana-Champaign-and on contributed articles solicited for this volume. A decade after the publication of Contemporary...
Springer, 2016. — xxxii, 566 p. — (Interdisciplinary Applied Mathematics 40). Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the...
Springer, 2018. — 245 p. — (UNITEXT for Physics). — ISBN: 3319905147. The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically...
European Mathematical Society, 2016. — 144 p. Free probability is a probability theory dealing with variables having the highest degree of noncommutativity, an aspect found in many areas (quantum mechanics, free group algebras, random matrices, etc.). Thirty years after its foundation, it is a well-established and very active field of mathematics. Originating from Voiculescu's...
New York: Elsevier, 1964. — 698 p. Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions....
New York: Springer, 2018. — 473 p. This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor...
Pearson Education, 2012. - 480 p. This text covers the essential topics needed for a fundamental understanding of basic statistics and its applications in the fields of engineering and the sciences. Interesting, relevant applications use real data from actual studies, showing how the concepts and methods can be used to solve problems in the field. The authors assume one...
Prentice Hall, 2011. - 816 p. 9th edition This classic text provides a rigorous introduction to basic probability theory and statistical inference, with a unique balance of theory and methodology. Interesting, relevant applications use real data from actual studies, showing how the concepts and methods can be used to solve problems in the field. This revision focuses on...
9th edition. — Pearson, 2016. — 552 p. — ISBN: 978-1292161365. For an introductory, one or two semester, or sophomore-junior level course in Probability and Statistics or Applied Statistics for engineering, physical science, and mathematics students. An Applications-Focused Introduction to Probability and Statistics Miller & Freund's Probability and Statistics for Engineers is...
8th Edition. — Prentice-Hall, 2007. — 816 p. With its unique balance of theory and methodology, this classic text provides a rigorous introduction to basic probability theory and statistical inference, motivated by interesting, relevant applications. Offers extensively updated coverage, new problem sets, and chapter-ending material to enhance the book’s relevance to today’s...
Pergamon, Oxford, 1987. — 122 p. — ISBN: 0-08-034929-3. The identification of parametric models from experimental data is a fundamental activity among researchers and engineers in pure and applied sciences. This work addresses the topic by examining, among others, the following areas: choice of an appropriate model structure that allows the estimation of all parameters; choice...
Cambridge: Cambridge University Press, 2009. — 296 p. Random samples Kullback–Leibler distance Fisher information matrix Singular models Density estimation Conditional probability density Statistical estimation methods Evidence Bayes and Gibbs estimations Maximum likelihood and a posteriori Standard form of log likelihood ratio function Evidence of singular model Bayes and...
London: Pelican Books, 1963. — 306 p. From Craps to Probability Curves, Montmort’s Problem to the St Petersburg Paradox, this book traces the "highways and byways of Dame Fortune in all her aspects. Never was Lady Luck so well portrayed - her curves, her vital statistics, her chances, and your chances. Warren Weaver gives a practical and readable account of the probability...
Translated from Russian by I. Aleksanova. — Moscow: Mir Publishers, 1986. — 430 p. This book is based on many years of experience teaching probability theory and its applications at higher educational establishments. It contains many of the problems we encountered in our research and consultative work. The problems are related to a variety of fields including electrical...
Translated from the Russian by Michael G. Edelev. — Moscow: Mir Publishers, 1983. — 264 p. The aim of this book is to present in a widely appealing form the subject matter and methods of operations research (OR), a managerial tool designed to increase the effectiveness of managerial decisions as an objective supplement to the subjective assessment.
Translated from the Russian by N. Deineko. — Moscow: Mir Publishers, 1982. — 90 p. Probability Theory and Its Problems Probability and Frequency Basic Rules of Probability Theory Random Variables Literature
Springer, 2014. — 73 p. — (Springer Briefs in Philosophy). — ISBN: 978-3-319-06205-1. This book on infinite regress arguments provides (i) an up-to-date overview of the literature on the topic, (ii) ready-to-use insights for all domains of philosophy, and (iii) two case studies to illustrate these insights in some detail. Infinite regress arguments play an important role in all...
Springer, 2020. — 236 p. — ISBN: 978-3-030-47479-9. This book is specially designed to refresh and elevate the level of understanding of the foundational background in probability and distributional theory required to be successful in a graduate-level statistics program. Advanced undergraduate students and introductory graduate students from a variety of quantitative...
2nd Edition. — Imperial College Press, 2012. — 289 p. — ISBN: 978-1-84816-761-2. Probability and statistics impinge on the life of the average person in a variety of ways - as is suggested by the title of this book. Very often information is provided that is factually accurate but intended to give a biased view. This book presents the important results of probability and...
Imperial College Press, 2008. — 234 p. — ISBN: 1848160321 Probability and statistics impinge on the life of the average person in a variety of ways as is suggested by the title of this book. Very often, information is provided that is factually accurate but intended to present a biased view. This book presents the important results of probability and statistics without making...
Cambridge University Press, 2024. — 403 p. Research in recent years has highlighted the deep connections between the algebraic, geometric, and analytic structures of a discrete group. New methods and ideas have resulted in an exciting field, with many opportunities for new researchers. This book is an introduction to the area from a modern vantage point. It incorporates the...
New York: Springer, 2021. — 123 p. This book presents covariance matrix estimation and related aspects of random matrix theory. It focuses on the sample covariance matrix estimator and provides a holistic description of its properties under two asymptotic regimes: the traditional one, and the high-dimensional regime that better fits the big data context. It draws attention to...
Springer, 2021. — 147 p. This book provides a unified exposition of some fundamental theoretical problems in high-dimensional statistics. It specifically considers the canonical problems of detection and support estimation for sparse signals observed with noise. Novel phase-transition results are obtained for the signal support estimation problem under a variety of statistical...
Berlin: Walter de Gruyter, 1999. — 594 p. An introduction to the theory of stable distributions and their applications. It contains a modern outlook on the mathematical aspects of the theory. The authors explain numerous peculiarities of stable distributions and describe the principle concept of probability theory and functional analysis. A significant part of the book is...
2nd, Revised and Extended Edition. — de Gruyter, 2024. — 370 p. — (De Gruyter Textbook). — ISBN: 978-3-11-133220-8. The idea of the book is to present a text that is useful for both students of quantitative sciences and practitioners who work with univariate or multivariate probabilistic models. Since the text should also be suitable for self-study, excessive formalism is...
Comments