文章基本信息

标题：On Six-Parameter Frechet Distribution: Properties and Applications
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作者：Haitham M. Yousof ; Ahmed Z A fify ; Abd El Hadi N Ebraheim 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2016
卷号：12
期号：2
页码：281-299
DOI：10.18187/pjsor.v12i2.1327
出版社：College of Statistical and Actuarial Sciences
摘要：This paper introduces a new generalization of the transmuted Marshall-Olkin Frechet distribution of Afy et al. (2015), using Kumaraswamy generalized family. The new model is referred to as Kumaraswamy transmuted Marshall-Olkin FrØchet distribution. This model contains sixty two sub-models as special cases such as the Kumaraswamy transmuted Frechet, Kumaraswamy transmuted Marshall-Olkin, generalized inverse Weibull and Kumaraswamy Gumbel type II distributions, among others. Various mathematical properties of the proposed distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Renyi and -entropies are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood estimation. We illustrate the importance of the new model by means of two applications to real data sets.
其他摘要：This paper introduces a new generalization of the transmuted Marshall-Olkin Frechet distribution of Afy et al. (2015), using Kumaraswamy generalized family. The new model is referred to as Kumaraswamy transmuted Marshall-Olkin FrØchet distribution. This model contains sixty two sub-models as special cases such as the Kumaraswamy transmuted Frechet, Kumaraswamy transmuted Marshall-Olkin, generalized inverse Weibull and Kumaraswamy Gumbel type II distributions, among others. Various mathematical properties of the proposed distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Renyi and -entropies are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood estimation. We illustrate the importance of the new model by means of two applications to real data sets.
关键词：Moments of residual life; Goodness-of-t; Order Statistics; Maximum Likelihood Estimation.