%0 Journal Article %T Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables %A Sasithorn Kongudomthrap %A Nattakarn Chaidee %J Journal of Mathematics Research %D 2012 %I %R 10.5539/jmr.v4n3p29 %X Let $(X_n)$ be a sequence of Bernoulli random variables and $N$ a positive integer value random variable. Assume that $N, X_1, X_2,ldots$ are independent. In this paper, we investigate uniform and non-uniform bounds in Poisson approximation for random sums $X_1+X_2+cdots+X_N$. %U http://www.ccsenet.org/journal/index.php/jmr/article/view/16177