A modified Conway–Maxwell–Poisson type binomial distribution and its applications

T. Imoto, C. M. Ng, S. H. Ong and S. Chakraborty

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 24, 12210-12225

Abstract: This article proposes a generalized binomial distribution, which is derived from the finite capacity queueing system with state-dependent service and arrival rates. This distribution is also generated from the conditional Conway–Maxwell–Poisson (CMP) distribution given a sum of two CMP variables. In this article, we consider the properties of the probability mass function, indices of dispersion, skewness and kurtosis, and give applications of the proposed distribution. The estimation method and simulation study are also considered.

Date: 2017
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DOI: 10.1080/03610926.2017.1291974

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