An approximation of suggested modified Poisson distribution

Abstract

AbstractPoisson Distribution is an approximation to Binomial distribution when the sample size approach to infinity and the probability of success P is a small , but the question a rise when the sample size approach to infinity but the probability of success P is close to , we suggest modification on Poisson Distribution to get new function and prove that it is p.d.f and calculate mean and variance . We explain that the suggestion modified Poisson distribution is more approximation than ordinary Poisson when the probability of success P close to and the sample size approach to infinity.