Abstract

A quasi-negative binomial distribution, in which the probability of an event is linearly dependent on the number of successes, has been studied. It has been found as a two-parameter gamma mixture of the ‘generalized Poisson distribution’ of Consul and Jain (1973).Some other models leading to this distribution have been given. Its moments have been obtained in terms of factorial power series. The estimation of its parameters has been discussed and the distribution has been fitted to some observed sets of data to test its goodness of fit.

Author: A. Mishra and Anwar Hassan

Received on: January, 2003

Accepted on: July, 2006