The exponentiated Weibull distribution: a survey

A review is given of the exponentiated Weibull distribution, the first generalization of the two-parameter Weibull distribution to accommodate nonmonotone hazard rates. The properties reviewed include: moments, order statistics, characterizations, generalizations and related distributions, transform...

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Bibliographic Details
Published inStatistical papers (Berlin, Germany) Vol. 54; no. 3; pp. 839 - 877
Main Authors Nadarajah, Saralees, Cordeiro, Gauss M., Ortega, Edwin M. M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.08.2013
Springer Nature B.V
Subjects
Computer programs
Computer simulation
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Estimating techniques
Finance
Insurance
Management
Mathematical models
Mathematics and Statistics
Maximum likelihood method
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Random variables
Regression
Regular Article
Software
Statistical methods
Statistics
Statistics for Business
Studies
Transformations
Weibull distribution
Exponentiated Weibull distribution
Estimation
Moments
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Summary:A review is given of the exponentiated Weibull distribution, the first generalization of the two-parameter Weibull distribution to accommodate nonmonotone hazard rates. The properties reviewed include: moments, order statistics, characterizations, generalizations and related distributions, transformations, graphical estimation, maximum likelihood estimation, Bayes estimation, other estimation, discrimination, goodness of fit tests, regression models, applications, multivariate generalizations, and computer software. Some of the results given are new and hitherto unknown. It is hoped that this review could serve as an important reference and encourage developments of further generalizations of the two-parameter Weibull distribution.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-012-0466-x