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

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

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 Some Properties of Quasi-Negative-Binomial Distribution and Its Applications

Some Representations and Specifications of the Generalized Negative Binomial Distribution

Abstract: In a sequence of dependent Bernoulli trials, the distribution of the number of trials required to obtain r successes, Vr, is called a Generalized Negative Binomial (GNB) distribution. We present a simple representation of this distribution based on moments and consider the conditions under which a GNB distribution follows negative binomial distribution. Also we study the properties of...

On Hypergeometric Generalized Negative Binomial Distribution