AN IMPROVED NEGATIVE BINOMIAL DISTRIBUTION TO APPROXIMATE THE NEGATIVE HYPERGEOMETRIC DISTRIBUTION

On Hypergeometric Generalized Negative Binomial Distribution

The Weibull Negative Binomial Distribution

We propose the Weibull negative binomial distribution that is a quite flexible model to analyze positive data, and includes as special submodels the Weibull, Weibull Poisson and Weibull geometric distributions. Some of its structural properties follow from the fact that its density function can be expressed as a mixture of Weibull densities. We provide explicit expressions for moments, generati...

On the Poisson Approximation to the Negative Hypergeometric Distribution

In this paper, the Stein-Chen method and the w-function associated with the negative hypergeometric random variable are used to give a result of the Poisson approximation to the negative hypergeometric distribution in terms of the total variation distance. Some numerical examples are presented to illustrate the result obtained. 2010 Mathematics Subject Classification: 60F05

On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution

Negative Binomial-Lindley Distribution and Its Application

Problem statement: The modeling of claims count is one of the most important topics in actuarial theory and practice. Many attempts were implemented in expanding the classes of mixed and compound distributions, especially in the distribution of exponential family, resulting in a better fit on count data. In some cases, it is proven that mixed distributions, in particular mixed Poisson and mixed...