A new count data model with Application in Genetics and Ecology

Abstract

The present paper introduces a new count model which is obtained by compounding negative binomial distribution with Kumaraswamy distribution. The proposed model has several properties such as it can be nested to different compound distributions on specific parameter setting. Similarity of the proposed model with existing compound distribution has been shown by means of reparameterization. Factorial moments and parameter estimation through maximum likelihood estimation and method of moment have been disused. The potentiality of the proposed model has been tested by chi-square goodness of fit test by modeling the real world count data sets from genetics and ecology.