文章基本信息

标题：The Transmuted Exponentiated Generalized-G Family of Distributions
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作者：Haitham M. Yousof ; Ahmed Z. Afify ; Morad Alizadeh 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2015
卷号：11
期号：4
页码：441-464
DOI：10.18187/pjsor.v11i4.1164
出版社：College of Statistical and Actuarial Sciences
摘要：We introduce a new class of continuous distributions called the transmuted exponentiated generalized-G family which extends the exponentiated generalized-G class introduced by Cordeiro et al. (2013). We provide some special models for the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of an applications to real dataset.
其他摘要：We introduce a new class of continuous distributions called the transmuted exponentiated generalized-G family which extends the exponentiated generalized-G class introduced by Cordeiro et al. (2013). We provide some special models for the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of an applications to real dataset.
关键词：Generating Function; Maximum Likelihood; Order Statistic; Transmuted-G Family; Exponentiated Generalized-G Family