A Charlier-Parseval approach to Poisson approximation and its applications
Probability
2010-07-29 v1
Abstract
A new approach to Poisson approximation is proposed. The basic idea is very simple and based on properties of the Charlier polynomials and the Parseval identity. Such an approach quickly leads to new effective bounds for several Poisson approximation problems. A selected survey on diverse Poisson approximation results is also given.
Keywords
Cite
@article{arxiv.0810.4756,
title = {A Charlier-Parseval approach to Poisson approximation and its applications},
author = {Vytas Zacharovas and Hsien-Kuei Hwang},
journal= {arXiv preprint arXiv:0810.4756},
year = {2010}
}