Nelson W.B. Applied Life Data Analysis

John Wiley & Sons, Inc. 2005. — 656 p. — ISBN: 0-471-09458-7.This book is directed to engineers and industrial statisticians working on product life data. It will also aid workers in other fields where survival is studied, for example, in medicine, biology, actuarial science, economics, business, and criminology. Also, this book may supplement texts for many statistics and engineering courses, since it gives a wealth of practical examples with real data, emphasizes applied data analysis, employs computer programs, and systematically presents graphical methods, the method of maximum likelihood, censored data analysis, prediction methods, and linear estimation.Overview and BackgroundOverview of the Book
Background Material
Basic Concepts and Distributions for Product Life
General Theory on Continuous Distributions (Illustrated by the Exponential Distribution)
Normal Distribution
Lognormal Distribution
Weibull Distribution
Smallest Extreme Value Distribution
Gamma and Chi-Square Distributions
Other Distributions
Shifted Distributions
Conditional and Truncated Distributions
Joint Distributions and the Joint Normal Distribution
General Theory on Discrete Distributions (Geometric Distribution)
Poisson Distribution
Binomial Distribution
Hypergeometric Distribution
Multinomial DistributionProbability Plotting of Complete and Singly Censored Data
Motivation
How to Make a Probability Plot of Complete Data
Percentiles and Probabilities
Exponential Probability Plot
Normal Probability Plot
Lognormal Probability Plot
Weibull Probability Plot
Extreme Value Probability Plot
Aids for Data Plotting
Probability Plots of Singly Censored Data
Theory for Probability PapersGraphical Analysis of Multiply Censored Data
Hazard Plotting
Probability Plotting of Multiply Censored Data
Theory for Hazard PapersSeries Systems and Competing Risks
Series Systems of Different Components
Series Systems of Identical Parts
Hazard Plots for Data with Competing Failure ModesAnalysis of Complete Data
Basic Ideas for Data Analysis
Poisson Data
Binomial Data
Exponential Data
Normal and Lognormal Data
Weibull and Extreme Value Data
Distribution-Free MethodsLinear Methods for Singly Censored Data
Basic Concepts
Exponential Data
Normal and Lognormal Data
Weibull and Extreme Value Data
Order StatisticsMaximum Likelihood Analysis of Multiply Censored DataExponential Distribution
Normal and Lognormal Distributions
Weibull and Extreme Value Distributions
Data with Competing Failure Modes — Maximum Likelihood Analysis
General Maximum Likelihood Methods and Theory
Numerical MethodsAnalyses of Inspection Data (Quantal-Response and Interval Data)Graphical Analyses of Quantal-Response Data
Maximum Likelihood Fitting for Quantal-Response Data
Graphical Analyses of Interval Data
Maximum Likelihood Analyses for Interval Data
ML Theory for Interval and Quantal-Response DataComparisons (Hypothesis Tests) for Complete DataComparison of Poisson Samples
Comparison of Binomial Samples
Comparison of Multinomial Samples
Comparison of Exponential Samples
Comparison of Normal and Lognormal Samples
Nonparametric, Weibull, and Other Distributions
Theoretical Concepts for Hypothesis TestsComparisons with Linear Estimators (Singly Censored and Complete Data)
One-Sample Comparisons
Pooled Estimate of a Common Parameter Value
Two-Sample Comparisons
K-Sample ComparisonsMaximum Likelihood Comparisons (Multiply Censored and Other Data)
One-Sample Comparisons
Pooled Estimate of a Common Parameter Value
Two-Sample Comparisons
K-Sample Comparisons
Likelihood Ratio Tests
General Theory for Likelihood Ratio and Related TestsSurvey of Other Topics
System Reliability Models and Their Analyses
Maintainability Models and Data Analyses
Availability Models and Data Analyses
Estimation of System Reliability from Component Data
Bayesian Methods in Reliability
Reliability Demonstration and Acceptance Tests
Reliability Growth (Duane Plots)
Renewal Theory and Data Analysis
Life as a Function of Other Variables
Accelerated Life Testing
Depreciation, Replacement, and Maintenance Policies
Books on Reliability and Life Data Analysis
Abstracts, Bibliographies, and Indices on Reliability and Life Data Analysis
Journals with Papers on Reliability and Life Data Analysis
Computerized Literature SearchesAppendix A. Tables