ON GENERALIZED ALTERNATIVE HYPER-POISSON DISTRIBUTION

Muhammad Shoaib; Zafar Iqbal; Munir Ahmad

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ON GENERALIZED ALTERNATIVE HYPER-POISSON DISTRIBUTION

Author(s)

Muhammad Shoaib National University of Modern Languages,Lahore,Pakistan

Zafar Iqbal Department of Statistics, Govt. College Satellite Town,Pakistan

Munir Ahmad National College of Business Administration & Economics,Lahore, Pakistan

Abstract

In this paper a three parameter generalized alternative hyper-Poisson (GAHP) distribution is defined and discussed. The GAHP distribution contains, as special sub models, several important discrete distributions such as alternative hyper-Poisson (AHP) distribution derived by Kumar and Nair (2012) and Poisson distribution. We develop here the stuttering generalized alternative hyper-Poisson (SGAHP) distribution and discuss some important properties of SGAHP distributions. We also develop the ConwayMaxwell generalized alternative hyper-Poisson (CMGAHP) distribution in the form of H-power series function and find some of its important properties. Finally, a real data application of CMGAHP distribution is also provided.

Publication Details

Page(s) 27-36

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 33, Issue: 1, Year: 2017

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Keywords

Generalized alternative hyper-Poisson distribution, Stuttering generalized alternative hyper-Poisson distribution, Alternative hyper-Poisson distribution, Conway-Maxwell generalized alternative hyper-Poisson distribution, Poisson distribution.

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