A Trinomial Difference Distribution

Abstract

A trinomial difference distribution is defined and its distributional properties are illustrated. This distribution present the binomial difference distribution as a special case. The moment estimators and maximum likelihood estimators of the trinomial difference distribution are compared via simulation study. Two applications are modeled with the trinomial difference distribution and compared with other possible distributions.

Keywords

• Binomial Distribution
• Discrete Distribution
• Maximum Likelihood Estimate
• Moment Estimate
• Poisson Distribution
• Trinomial Distribution