Parameters Estimation Methods for the Negative Binomial-Crack Distribution and Its Application

บทคัดย่อ

Abstract

In this paper we study four parameters negative binomial-Crack (NB-CR) distribution. This new formulation distribution contains as special cases three parameters distribution, namely, negative binomial-inverse Gaussian (NB-IG), negative binomial-Birnbaum-Saunders (NB-BS) and negative binomial-length biased inverse Gaussian (NB-LBIG). The objective of our research is to estimate the parameters for NB-CR distribution by using maximum likelihood estimation and the method of moments. These methods are illustrated with an application to accident data.

Keywords: negative binomial-Crack distribution, parameter estimation, maximum likelihood estimation, method of moments count data