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The Weibull Distribution

A Handbook

Authored by: Horst Rinne

Print publication date:  November  2008
Online publication date:  November  2008

Print ISBN: 9781420087437
eBook ISBN: 9781420087444
Adobe ISBN:

10.1201/9781420087444
 Cite  Marc Record

Book 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

Chapter  1:  History and meaning of the Weibull distribution Download PDF
Chapter  2:  Definition and properties of the Weibull distribution Download PDF
Chapter  3:  Related distributions Download PDF
Chapter  4:  Weibull processes and Weibull renewal theory Download PDF
Chapter  5:  Order statistics and related variables Download PDF
Chapter  6:  6 Characterizations  Download PDF
Chapter  7:  Weibull Applications and Aids in Doing Weibull Analysis Download PDF
Chapter  8:  Collecting life data  Download PDF
Chapter  9:  Parameter estimation — Graphical approaches Download PDF
Chapter  10:  Parameter estimation — Least squares and linear approaches Download PDF
Chapter  11:  Parameter estimation — Maximum likelihood approaches  Download PDF
Chapter  12:  Parameter estimation — Methods of moments Download PDF
Chapter  13:  Parameter estimation — More classical approaches and comparisons Download PDF
Chapter  14:  Parameter estimation — Bayesian approaches Download PDF
Chapter  15:  Parameter estimation — Further approaches Download PDF
Chapter  16:  Parameter estimation in accelerated life testing  Download PDF
Chapter  17:  Parameter estimation for mixed Weibull models Download PDF
Chapter  18:  Inference of Weibull processes Download PDF
Chapter  19:  Estimation of percentiles and reliability including tolerance limits Download PDF
Chapter  20:  Prediction of future random quantities Download PDF
Chapter  21:  Weibull parameter testing Download PDF
Chapter  22:  Weibull goodness-of-fit testing and related problems Download PDF
Mathematical_and_Statistical_Notations Download PDF
prelims Download PDF
Bibliography Download PDF
Appendices Download PDF
Abbreviations Download PDF
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