A modified Conway-Maxwell-Poisson type binomial distribution and its applications
Statistics Theory
2016-10-18 v1 Statistics Theory
Abstract
This paper proposes a generalized binomial distribution with four parameters, 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 distribution given a sum of two Conway-Maxwell-Poisson variables. In this paper, we consider the properties about the probability mass function, index of dispersion, skewness and kurtosis and give applications of the proposed distribution from its geneses. The estimation method and simulation study are also considered.
Cite
@article{arxiv.1610.05232,
title = {A modified Conway-Maxwell-Poisson type binomial distribution and its applications},
author = {Imoto Tomoaki and Ng Choung Min and Ong Seng Huat and Subrata Chakraborty},
journal= {arXiv preprint arXiv:1610.05232},
year = {2016}
}
Comments
Under submitting to Communications in Statistics - Theory and Methods