Zero Inflated Poisson Mixture Distributions

Abstract

This paper presents a method of constructing the Zero in ated Pois- son continuous mixture distributions which have applications in various fields. The distributions can be formed by either direct integration or integration of moments of the underlying distributions. The two meth- ods are presented in sections one and two. In section four, we present the mixed distributions. We further proved the identities that resulted when the resultant mixed distributions were equated.