Abstract

The wide range of applications of mixture of two probability distributions have been known in the literature. Because of its discovered importance in modelling problems, research on the development of more probability distribution remains an interesting area. This study defines a new probability distribution that is defined as Poisson Chi-Square Mixture. A proof that the newly introduced distribution is indeed a probability distribution is presented by satisfying the basic properties.  Properties such as mean, variance, skewness, and kurtosis are derived using cumulants. Further, simulation using Maple software was done to visualize to shape of the Poisson Chi-Square Mixture at the different values of parameter values n and l. This study however is only limited to introduce a new probability distribution and data fitting is recommended for future researchers. Major findings provide additional list of probability distribution

Keywords

Poisson Chi-Square Mixture, Mixture Distribution, Graphical Simulation