ZERO - ONE INFLATED NEGATIVE BINOMIAL - SUSHILA DISTRIBUTION AND ITS APPLICATION.

Abstract

The purpose of this paper is to develop a zero inflated negative binomial – Sushila distribution, namely zero one inflated negative binomial – Sushila (ZOINB-S) distribution which is discrete distribution for count data. The probability mass function of ZOINB-S has five parameters. Several statistical properties of ZOINB-S distribution are explored, such as the probability mass function (pmf), moment about the origin, mean, variance, skewness, and kurtosis. The parameters of ZOINB-S distribution are estimated by the maximum likelihood estimation. In application study section, a real data set is used to illustrate the flexibility of the proposed distribution.