A Size-Biased Poisson-Aradhana Distribution with Applications

In this present paper, a size-biased Poisson-Aradhana distribution (SBPAD) has been proposed and its nature has been studied graphically. Its moments and moments based measures including coefficients of variation, skewness, kurtosis and index of dispersion have been obtained and their natures have been discussed graphically. The unimodality and increasing hazard rate function of the distribution has been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameter. Applications of SBPAD have been explained through three examples and it gives much better fit over size-biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).