A Non-Uniform Bound on Poisson Approximation for Sums of Bernoulli Random Variables with Small Mean

K. Teerapabolarn

Abstract

In many situations, the Poisson approximation is appropriate for sums of Bernoulli random variables where its mean, $\lambda$, is small. In this paper, we give non-uniform bounds of Poisson approximation with small values of $\lambda$ ¸$\lambda \in (0; 3]$, by using the Stein-Chen method. These bounds are sharper than the bounds of Teerapabolarn and Neammanee [12].