NEGATIVE BINOMIAL APPROXIMATION TO THE GENERALIZED HYPERGEOMETRIC DISTRIBUTION

On Hypergeometric Generalized Negative Binomial Distribution

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

The Negative Binomial Distribution Efficiency in Finite Mixture of Semi-parametric Generalized Linear Models

Introduction Selection the appropriate statistical model for the response variable is one of the most important problem in the finite mixture of generalized linear models. One of the distributions which it has a problem in a finite mixture of semi-parametric generalized statistical models, is the Poisson distribution. In this paper, to overcome over dispersion and computational burden, finite ...

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 NEGATIVE BINOMIAL APPROXIMATION TO k-RUNS

The distributions of the run occurrences for a sequence of independent and identically distributed (i.i.d.) experiments are usually obtained by combinatorial methods (see Balakrishnan and Koutras (2002, Chapter 5)) and the resulting formulae are often very tedious, while the distributions for non i.i.d. experiments are generally intractable. It is therefore of practical interest to find a suita...