The Poisson Topp Leone Generator of Distributions for Lifetime Data: Theory, Characterizations and Applications
Faton Merovcı, Haitham M. Yousof, G. G. Hamedani
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 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.
Topics & Concepts
MathematicsPoisson distributionIndependent and identically distributed random variablesOrder statisticQuantileApplied mathematicsRandom variableStatisticsGaussianPhysicsQuantum mechanicsStatistical Distribution Estimation and ApplicationsProbability and Risk ModelsBayesian Methods and Mixture Models