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The exponentiated Weibull distribution: a survey

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  • Saralees Nadarajah

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  • Gauss Cordeiro
  • Edwin Ortega
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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. Copyright Springer-Verlag 2013

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    File URL: http://hdl.handle.net/10.1007/s00362-012-0466-x
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    Bibliographic Info

    Article provided by Springer in its journal Statistical Papers.

    Volume (Year): 54 (2013)
    Issue (Month): 3 (August)
    Pages: 839-877

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    Handle: RePEc:spr:stpapr:v:54:y:2013:i:3:p:839-877

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    Web page: http://www.springer.com/statistics/business/journal/362

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    Related research

    Keywords: Estimation; Exponentiated Weibull distribution; Moments;

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    3. Chansoo Kim & Jinhyouk Jung & Younshik Chung, 2011. "Bayesian estimation for the exponentiated Weibull model under Type II progressive censoring," Statistical Papers, Springer, vol. 52(1), pages 53-70, February.
    4. Cid, Juan Esteban Ramirez & Achcar, Jorge Alberto, 1999. "Bayesian inference for nonhomogeneous Poisson processes in software reliability models assuming nonmonotonic intensity functions," Computational Statistics & Data Analysis, Elsevier, vol. 32(2), pages 147-159, December.
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    11. Saralees Nadarajah, 2009. "Bathtub-shaped failure rate functions," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(5), pages 855-863, September.
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