A new one parameter discrete distribution and its applications

摘要

In this paper, a new one parameter discrete distribution which is better than several well-known one parameter discrete distributions has been proposed. The expressions for its coefficient of variation, skewness, kurtosis and index of dispersion have been obtained and their behaviors illustrated graphically. The method of moment and the method of maximum likelihood estimation for estimating the parameter have been discussed. The simulation study has also been presented in order to illustrate the performance of maximum likelihood estimator. The goodness of fit of the proposed distribution has been explained with three examples of count datasets and its fit was found quite satisfactory over Poisson distribution, Poisson-Lindley distribution, Poisson-Akash distribution and Poisson-Ishita distribution.