Rose C., Smith M.D. Mathematical Statistics with Mathematica

Springer, 2002. — 481 p. — ISBN: 0387952349, 1461274036, 9780387952345.This book and software package presents a unified approach for doing mathematical statistics with Mathematica. The mathStatica software empowers the student with the ability to solve difficult problems. The professional statistician will be able to tackle tricky multivariate distributions, generating functions, inversion theorems, symbolic maximum likelihood estimation, unbiased estimation, and the checking and correcting of textbook formulae. This is the ideal companion for researchers and students in statistics, econometrics, engineering, physics, psychometrics, economics, finance, biometrics, and the social sciences.Keywords » Applications of Statistical theory - Mathematica - Mathematical Statistics - mathStatica.Introduction – Continuous Random Variables – Discrete Random Variables – Distributions of Functions of Random Variables – Systems of Distributions – Multivariate Distributions – Moments of Sampling Distributions – Asymptotic Theory – Statistical Decision Theory – Unbiased Parameter Estimation – Principles of Maximum Likelihood Estimation – Maximum Likelihood Estimation in Practice.