On the Marshall–Olkin extended Weibull distribution

Gauss Cordeiro and Artur Lemonte ()

Statistical Papers, 2013, vol. 54, issue 2, 333-353

Abstract: We study some mathematical properties of the Marshall–Olkin extended Weibull distribution introduced by Marshall and Olkin (Biometrika 84:641–652, 1997 ). We provide explicit expressions for the moments, generating and quantile functions, mean deviations, Bonferroni and Lorenz curves, reliability and Rényi entropy. We determine the moments of the order statistics. We also discuss the estimation of the model parameters by maximum likelihood and obtain the observed information matrix. We provide an application to real data which illustrates the usefulness of the model. Copyright Springer-Verlag 2013

Keywords: Extended distribution; Order statistic; Rényi entropy; Weibull distribution (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00362-012-0431-8

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