Generalized negative binomial distribution and its applications

Abstract

The present work is mainly on Generalized Negative Binomial Distribution and its applications Attempts have been made to explore some new horizons of this distribution newlinechapter I gives the basic ideas preliminary results and presents a brief review of some classical as well as generalized distributions which are required in subsequent chapters newlineIn chapter II various structural properties of generalized negative binomial distribution and its relationship with other Lagrangian probability distributions has been discussed newlineChapter III deals with the estimation of parameters of generalized negative binomial distribution A critical review of all these methods of estimation has been presented Moreover an alternative method of estimation has been presented and goodness of fit has been carried out newlineChapter IV is fully devoted to generalized geometric series distribution GGSD A simple and quick method for estimation of parameters of GGSD has been presented Bayesian estimation of parameters of GGSD and truncated GGSD has also been obtained in this chapter newlineFinally Chapter V deals with the application of generalized negative binomial distribution Being much general in nature and wider in scope it has many field applications and has been explored in this chapter