A discrete Pranav distribution and its applications

Abstract

In the recent decades, the discretization of continuous distribution has been attracting to the attention of researchers because it generates distributions that can be used for strictly discrete data. In this paper, a discrete Pranav distribution, which is a discrete analogue of continuous Pranav distribution, has been carried out. It’s important properties including coefficient of variation, skewness, kurtosis and index of dispersion have been obtained and discussed graphically. The method of maximum likelihood estimation has been used for estimating its parameter. The goodness of fit of the proposed distribution have been illustrated using some real count datasets and it was found better fit as compared to other one parameter discrete distributions.