Rinne The Weibull Distribution

A Handbook
Erscheinungsjahr 2010
ISBN: 978-1-4200-8744-4
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: 0 - No protection

E-Book, Englisch, 808 Seiten

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.

Autoren/Hrsg.

Rinne, Horst

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

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