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The exponentiated Weibull distribution: a survey

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematics, University of Manchester, Manchester, M13 9PL, UK

    Saralees Nadarajah

  2. Departamento de Estatística e Informática, Universidade Federal Rural of Pernambuco, Recife, PE, 52171-900, Brazil

    Gauss M. Cordeiro

  3. Departamento de Ciências Exatas, Universidade de São Paulo, Piracicaba, SP, 13418-900, Brazil

    Edwin M. M. Ortega

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  1. Saralees Nadarajah
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  2. Gauss M. Cordeiro
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  3. Edwin M. M. Ortega
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Correspondence to Saralees Nadarajah.

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Nadarajah, S., Cordeiro, G.M. & Ortega, E.M.M. The exponentiated Weibull distribution: a survey. Stat Papers 54, 839–877 (2013). https://doi.org/10.1007/s00362-012-0466-x

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  • DOI: https://doi.org/10.1007/s00362-012-0466-x

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