Applications of Beta Negative Binomial Distribution Series on Holomorphic Functions

Quasi-negative binomial distribution: Properties and applications

In this paper, a quasi-negative binomial distribution (QNBD) derived from the class of generalized Lagrangian probability distributions is studied. The negative binomial distribution is a special case of QNBD. Some properties of QNBD, including the upper tail behavior and limiting distributions, are investigated. It is shown that the moments do not exist in some situations and the limiting dist...

On Hypergeometric Generalized Negative Binomial Distribution

On Some Negative Integer Moments of Quasi-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 Some Properties of Quasi-Negative-Binomial Distribution and Its Applications