The Weibull Distribution: A Handbook

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CRC Press, Nov 20, 2008 - Mathematics - 808 pages
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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.

 

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Contents

History and meaning of the WEIBULL distribution
3
Definition and properties of the WEIBULL distribution
27
Related distributions
98
WEIBULL processes and WEIBULL renewal theory
189
Order statistics and related variables
223
Characterizations
254
Applications and inference
273
WEIBULL applications and aids in doing WEIBULL analysis
275
Parameter estimation in accelerated life testing
536
Parameter estimation for mixed WEIBULL models
557
Inference of WEIBULL processes
571
Estimation of percentiles and reliability including tolerance limits
585
Prediction of future random quantities
610
WEIBULL parameter testing
624
WEIBULL goodnessoffit testing and related problems
651
Appendices
691

Collecting life data
286
Parameter estimation Graphical approaches
313
Parameter estimation Least squares and linear approaches
355
Parameter estimation Maximum likelihood approaches
402
Parameter estimation Methods of moments
455
Parameter estimation More classical approaches and comparisons
476
Parameter estimation BAYESIAN approaches
511
Parameter estimation Further approaches
531
Table of the gamma digamma and trigamma functions
693
Abbreviations
695
Mathematical and statistical notations
698
Bibliography
701
Author index
763
Subject index
777
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