IJPAM: Volume 94, No. 4 (2014)

A POINTWISE NEGATIVE BINOMIAL APPROXIMATION
FOR RANDOM SUMS OF GEOMETRIC RANDOM VARIABLES

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND


Abstract. We determine a pointwise bound for the point metric between the distribution of random sums of independent geometric random variables and an appropriate negative binomial distribution. Two examples have been given to illustrate the result obtained.

Received: March 26, 2014

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

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

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DOI: 10.12732/ijpam.v94i4.9 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: 537 - 540

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