The Weibull Distribution
By: Horst Rinne (author)Hardback
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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.
University of Giessen
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
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- ID: 9781420087437
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