Abstract: In this paper, we use the Stein-Chen method to determine a non-uniform bound for approximating the distribution of sums of dependent Bernoulli random variables by Poisson distribution. We give two formulas of non-uniform bounds and their applications.
Keywords: Non-uniform bound, Poisson distribution, sums of dependent Bernoulli random variables, Stein–Chen method.
Classification (MSC2000): 60F05; 60G05
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