Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables

Sasithorn Kongudomthrap, Nattakarn Chaidee


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 $X_1+X_2+\cdots+X_N$.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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