On the Marshall-Olkin extended Weibull distribution

作者：Cordeiro Gauss M; Lemonte Artur J^*

来源：Statistical Papers, 2013, 54(2): 333-353.

DOI：10.1007/s00362-012-0431-8

• Extended distribution
• Order statistic
• Renyi entropy
• Weibull distribution

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 R,nyi 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.

• 出版日期2013-5