Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables


  •  Sasithorn Kongudomthrap    
  •  Nattakarn Chaidee    

Abstract

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 $X_1+X_2+\cdots+X_N$.


This work is licensed under a Creative Commons Attribution 4.0 License.