Abstract. This paper determines a bound for the total variation distance between the distribution of random sums of independent geometric random variables and a negative 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: geometric random variable, negative binomial approximation, random sums, total variation distance

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DOI: 10.12732/ijpam.v94i5.8 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: 5
Pages: 701 - 704

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

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