HURDLE POISSON – SUSHILA DISTRIBUTION AND ITS APPLICATION

Chookait  Pudprommarat

Chookait Pudprommarat Faculty of Science and Technology, Suan Sunandha Rajabhat University, Bangkok, Thailand

Keywords: Poisson distribution, Poisson - Sushila distribution, Hurdle Poisson - Sushila distribution

Abstract

This study proposes hurdle Poisson - Sushila distribution and its application. The probability mass function of random variable for hurdle Poisson - Sushila which have three parameters. The probability mass function of hurdle Poisson - Sushila has the mathematical properties such as moments about the origin, first - fourth moments about the origin, mean, variance, coefficient of skewness, and coefficient of kurtosis. Next, study of estimating parameters for hurdle Poisson - Sushila distribution with maximum likelihood method. Finally, application study are used a real data set which real data are fitted by the Poisson distribution, Poisson - Sushila distribution and hurdle Poisson - Sushila distribution by using the chi-square goodness of fit test. The maximum likelihood method provides very poor fit for the Poisson distribution and acceptable fits for hurdle Poisson - Sushila distribution.