Journal of Mathematics Research
Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables
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 $X_1+X_2+\cdots+X_N$.
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 3.0 License.
Journal of Mathematics Research ISSN 1916-9795 (Print) ISSN 1916-9809 (Online)
Copyright © Canadian Center of Science and Education
To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.