Abstract. The aim of this paper is to give a pointwise bound for the point metric between the distribution of random sums of independent Bernoulli random variables and a binomial distribution. Two examples have been given to illustrate the result obtained.

Received: March 26, 2014

AMS Subject Classification: 62E17, 60F05, 60G50

Key Words and Phrases: Bernoulli random variable, binomial approximation, point metric, random sums

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DOI: 10.12732/ijpam.v94i4.8 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: 4
Pages: 533 - 536

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

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