The inverse binomial distribution as a statistical model

Abstract

A particular case of Jain and Consul's (1971) generalized neg-ative binomial distribution is studied. The name inverse binomial is suggested because of its close relation with the inverse Gaussian distribution. We develop statistical properties including conditional inference of a parameter. An application using real data is given.

Keywords:

• gambler ruin problem generalized negative binomial distribution
• inverse gaussian distribution
• survival time model