Zero-modified Poisson-Modification of Quasi Lindley distribution and its application

Abstract The Poisson-Modification of Quasi Lindley (PMQL) distribution is a newly introduced mixed Poisson for over-dispersed count data. aim this article to introduce the Zero-modified PMQL (ZMPMQL) as an alternative in order accommodate zero inflation/deflation. method obtaining ZMPMQL jointly with some its important properties, namely probability mass and functions, mean, variance, index dispersion, quantile function are presented. Furthermore, special cases discussed. maximum likelihood (ML) estimation used unknown parameter estimation. A simulation study conducted evaluate asymptotic theory ML show superiority over moments applicability illustrated by using real-world data set.