期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2015
卷号：14
期号：3
页码：224-241
DOI：10.2991/jsta.2015.14.3.1
语种：English
出版社：Atlantis Press
摘要：For any baseline continuous G distribution, we propose a new generalized family called the Kumaraswamy-G Poisson (denoted with the prefix “Kw-GP”) with three extra positive parameters. Some special distributions in the new family such as the Kw-Weibull Poisson, Kw-gamma Poisson and Kw-beta Poisson distributions are introduced. We derive some mathematical properties of the new family including the ordinary moments, generating function and order statistics. The method of maximum likelihood is used to fit the distributions in the new family. We illustrate its potentiality by means of an application to a real data set.
关键词：Kumaraswamy distribution; Kumaraswamy-G Poisson distribution; Poisson distribution; Maximum likelihood estimation
