Abstract

In this paper, a study on Poisson-Prakaamy distribution, a Poisson mixture of Prakaamy distribution, has been carried out. The expression for r th factorial moment about origin has been derived. 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 two count datasets and its fit was found quite satisfactory over Poisson distribution, Poisson-Lindley distribution, Poisson-Akash distribution and Poisson-Ishita distribution.

Author: Kamlesh Kumar Shukla and Rama Shanker

Received on: January, 2020

Accepted on: November, 2020