The Weibull Distribution: A Handbook, 1st Edition (Hardback) book cover

The Weibull Distribution

A Handbook, 1st Edition

By Horst Rinne

Chapman and Hall/CRC

808 pages | 108 B/W Illus.

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Hardback: 9781420087437
pub: 2008-11-20
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Description

The Most Comprehensive Book on the Subject

Chronicles the Development of the Weibull Distribution in Statistical Theory and Applied Statistics

Exploring one of the most important distributions in statistics, The Weibull Distribution: A Handbook focuses on its origin, statistical properties, and related distributions. The book also presents various approaches to estimate the parameters of the Weibull distribution under all possible situations of sampling data as well as approaches to parameter and goodness-of-fit testing.

Describes the Statistical Methods, Concepts, Theories, and Applications of This Distribution

Compiling findings from dozens of scientific journals and hundreds of research papers, the author first gives a careful and thorough mathematical description of the Weibull distribution and all of its features. He then deals with Weibull analysis, using classical and Bayesian approaches along with graphical and linear maximum likelihood techniques to estimate the three Weibull parameters. The author also explores the inference of Weibull processes, Weibull parameter testing, and different types of goodness-of-fit tests and methods.

Successfully Apply the Weibull Model

By using inferential procedures for estimating, testing, forecasting, and simulating data, this self-contained, detailed handbook shows how to solve statistical life science and engineering problems.

Table of Contents

Preface

Genesis, Theory, and Description

History and Meaning of the Weibull Distribution

Definition and Properties of the Weibull Distribution

Related Distributions

Weibull Processes and Weibull Renewal Theory

Order Statistics and Related Variables

Characterizations

Applications and Inference

Weibull Applications and Aids in Doing Weibull Analysis

Collecting Life Data

Parameter Estimation—Graphical Approaches

Parameter Estimation—Least Squares and Linear Approaches

Parameter Estimation—Maximum Likelihood Approaches

Parameter Estimation—Methods of Moments

Parameter Estimation—More Classical Approaches and Comparisons

Parameter Estimation—Bayesian Approaches

Parameter Estimation—Further Approaches

Parameter Estimation in Accelerated Life Testing

Parameter Estimation for Mixed Weibull Models

Inference of Weibull Processes

Estimation of Percentiles and Reliability Including Tolerance Limits

Prediction of Future Random Quantities

Weibull Parameter Testing

Weibull Goodness-of-Fit Testing and Related Problems

Appendices

Table of the Gamma, Digamma and Trigamma Functions

Abbreviations

Mathematical and Statistical Notations

Bibliography

Author Index

Subject Index

Subject Categories

BISAC Subject Codes/Headings:
BUS053000
BUSINESS & ECONOMICS / Quality Control
MAT029000
MATHEMATICS / Probability & Statistics / General
TEC032000
TECHNOLOGY & ENGINEERING / Quality Control