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9781420087437

The Weibull Distribution: A Handbook

by ;
  • ISBN13:

    9781420087437

  • ISBN10:

    1420087436

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-11-20
  • Publisher: Chapman & Hall/

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Summary

Compiling findings from many scientific journals and research papers, this handbook focuses on the origin, statistical properties, and related distributions of the Weibull distribution. It also presents various approaches to estimate the parameters of this distribution under all possible situations of sampling data as well as approaches to parameter and goodness-of-fit testing. The author provides illustrative examples from the biological, environmental, health, physical, and social sciences and lists several statistical software packages capable of performing Weibull analysis. The extensive bibliography includes 1,200 research papers on the theory and application of the Weibull distribution.

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 Estimationa-Graphical Approaches
Parameter Estimationa-Least Squares and Linear Approaches
Parameter Estimationa-Maximum Likelihood Approaches
Parameter Estimationa-Methods of Moments
Parameter Estimationa-More Classical Approaches and Comparisons
Parameter Estimationa-Bayesian Approaches
Parameter Estimationa-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
Table of Contents provided by Publisher. All Rights Reserved.

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