A modified Conway–Maxwell–Poisson type binomial distribution and its applications. Issue 24 (17th December 2017)

• Record Type: Journal Article
• Authors: Imoto, T.; Ng, C. M.; Ong, S. H.; Chakraborty, S.
• Is Part Of: Communications in statistics. Volume 46:Issue 24(2017)
• Page Start: 12210
• Page End: 12225
• Publication Date: 2017-12-17
• Subjects: Dispersion -- Exponential family -- Kurtosis -- Modality -- Queueing process -- Skewness.; 62H10; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1291974
• Languages: English
• ISSNs: 0361-0926

Abstract

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.