The Weibull-G Poisson Family for Analyzing Lifetime Data, By Morad Alizadeh

Research

Title	The Weibull-G Poisson Family for Analyzing Lifetime Data
Type	Article
Keywords	—
Journal	Pakistan Journal of Statistics and Operation Research
DOI	—
Researchers	Muhammad Mansoor (Second researcher) , Morad Alizadeh (Third researcher) , Ahmed Afify (Fourth researcher) ,

Abstract

We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a general Weibull-G distribution (see Bourguignon et al. (2014)). Some mathematical properties 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. Three special models of the new family are discussed. We perform three applications to real data sets to show the potentiality of the proposed family.