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Compound of Discrete Pareto and Beta distributions as a new Count Data Model

Afaq Ahmad, Bilal Para

Abstract



In this article, we attempt to introduce a new count data model which is obtained by compounding discrete Pareto distribution with Beta distribution of first kind. The proposed model has several properties such as it can be nested to different compound distributions on specific parameter settings. We shall first study some basic distributional and moment properties of the new distribution. Then, certain structural properties of the distribution such as its unimodality and hazard rate behavior are discussed. Finally, real data set is analyzed to investigate the suitability of the proposed distribution in modeling count.

Keywords


Discrete Pareto Distribution, Zero Inflated, Beta distribution, compound distribution, count data.

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