Statistical Papers

, Volume 54, Issue 3, pp 839–877

The exponentiated Weibull distribution: a survey

  • Saralees Nadarajah
  • Gauss M. Cordeiro
  • Edwin M. M. Ortega
Regular Article

DOI: 10.1007/s00362-012-0466-x

Cite this article as:
Nadarajah, S., Cordeiro, G.M. & Ortega, E.M.M. Stat Papers (2013) 54: 839. doi:10.1007/s00362-012-0466-x


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.


EstimationExponentiated Weibull distributionMoments

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Saralees Nadarajah
    • 1
  • Gauss M. Cordeiro
    • 2
  • Edwin M. M. Ortega
    • 3
  1. 1.School of MathematicsUniversity of ManchesterManchesterUK
  2. 2.Departamento de Estatística e InformáticaUniversidade Federal Rural of PernambucoRecifeBrazil
  3. 3.Departamento de Ciências ExatasUniversidade de São PauloPiracicabaBrazil