An Approximation of Probability of Binomial Distribution with Poisson Distribution, Generalized Poisson Distribution and Normal Distribution

Abstract

The aim of this research is to study the estimation of binomial distribution. In which case n is large (n→∞) and p is small (p→0), causes that computation is difficult. So this research suggested in approximate binomial probability distribution with Poisson distribution, generalized Poisson distribution, and normal distribution. Moreover, we compare efficiency of each estimators and error of estimated. The result, we found that an approximation of probability of binomial distribution with generalized Poisson distribution is lowest error of estimated.