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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.
MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
We thank a referee and the associate editor for helpful comments and suggestions on an earlier version of this paper.
Funding
This research is partially supported by ISM FY2014 travel support for an international paper/poster presentation by young researchers (ISM stands for The Institute of Statistical Mathematics in Japan). C.M. Ng and S.H. Ong wish to acknowledge support from the Malaysian Ministry of Education FRGS grant FP045-2015A.