期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2020
卷号：16
期号：2
页码：343-355
DOI：10.18187/pjsor.v16i2.3230
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a Topp Leone-G distribution (see Rezaei et al., (2016)). Some mathematicalproperties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics, reliability and entropies are derived. Maximum likelihood estimation of the model parameters is investigated. Some special models of the newfamily are discussed. An application is carried out on real data set applications sets to show the potentiality of the proposed family.
