Journal Published Online: 21 May 2018
Volume 46, Issue 4

A New Mixed Poisson Distribution: Modeling and Applications

CODEN: JTEVAB

Abstract

In this article, a new mixed Poisson distribution that includes the geometric and negative binomial distributions as special cases is proposed. This distribution is obtained by mixing the Poisson distribution with the binomial exponential 2 distribution. The new distribution is overdispersed (i.e., the variance is greater than the mean), and hence, this distribution is able to incorporate the overdispersion that typically occurs in count data sets. Shape and moments properties of the proposed distribution are discussed. Estimation of the model parameters is considered using the method of moments and maximum likelihood approach. We propose an algorithm for generating random data from the new distribution. Three real data applications are also presented to see that new distribution is useful for modeling count data.

Author Information

Habibi, Mina
Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Asgharzadeh, Akbar
Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Pages: 13
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Details
Stock #: JTE20170585
ISSN: 0090-3973
DOI: 10.1520/JTE20170585