Abstract
In this paper, Poisson-Pranav distribution, a Poisson mixture of Pranav distribution, has been proposed. Its moments and moments-based measures including coefficients of variation, skewness, kurtosis, index of dispersion have been obtained and their behavior illustrated graphically. The estimation of parameter of the proposed distribution has been discussed using both the method of moment and the method of maximum likelihood. 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.
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