Publication Type:

Journal Article


International Journal of Pure and Applied Mathematics, Volume 117, Issue 13, p.117-126 (2017)


In statistics literature, there is significant study of mixtures and compound probability distributions used for count model especially for the data contains excess zeros. In this paper, we introduce a new probability distribution which is obtained as a compound of zero-inflated negative binomial (ZINB) distribution and Sushila distribution and it is named as zero-inflated negative binomial-Sushila (ZINB-S) distribution. It can be used as an alternative and effective way of modeling over dispersed count data. The probability mass function (PMF) and some vital characteristics of ZINB-S distribution are derived. MLE method is employed for estimating the model parameters. Further the example is given to show that ZINB-S provides better fit compare to traditional models for over dispersed count data. AMS Subject Classification: 2010: 62F10; 62P05

Cite this Research Publication

K. M. Sakthivel, Rajitha C. S., and Alshad, K. B., “Zero-Inflated Negative Binomial-Sushila Distribution and Its Application”, International Journal of Pure and Applied Mathematics, vol. 117, no. 13, pp. 117-126, 2017.