Abstract. This paper gives a new bound for the total variation distance between the distribution of random sums of independent Bernoulli random variables and an appropriate Poisson distribution. The bound in this study is sharper than that reported in [#!YN!#]. Two examples have been given to illustrate the result obtained.

Received: March 26, 2014

AMS Subject Classification: 62E17, 60F05, 60G05

Key Words and Phrases: Bernoulli random variable, Poisson approximation, random sums, total variation distance

Download paper from here.

---

DOI: 10.12732/ijpam.v94i5.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 5
Pages: 693 - 696

Google Scholar; zbMATH; DOI (International DOI Foundation); WorldCAT.

This work is licensed under the Creative Commons Attribution International License (CC BY).

---