2019•arXiv (Cornell University)Open access

A New Mixed Generalized Negative Binomial Distribution

Anwar Hassan, Ishfaq Ahmad, Peer Bilal Ahmad

Abstract

In this article, a generalized version of Negative binomial-beta exponential distribution with five parameters have been introduced. Some interesting submodels have been derived from it. A comprehensive mathematical treatment of proposed distribution is being provided. Various expressions like that of moment generating function, moments are derived. The model parameters are estimated by the maximum likelihood method. Finally, the application of proposed distribution is carried out on one sample of automobile insurance data.

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Key concepts: Beta-binomial distribution, Negative binomial distribution, Beta negative binomial distribution, Mathematics, Applied mathematics, Exponential family, Exponential distribution, Binomial distribution