IJPAM: Volume 90, No. 1 (2014)
A NON-UNIFORM BOUND ON POISSON APPROXIMATION
FOR INDEPENDENT BERNOULLI RANDOM SUMMANDS
FOR INDEPENDENT BERNOULLI RANDOM SUMMANDS
K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND
Abstract. A non-uniform bound for the distance between the distribution of random sums of independent Bernoulli random variables and an appropriate Poisson distribution is obtained. It is sharper than the bound reported in [7].
Received: July 17, 2013
AMS Subject Classification: 62E17, 60F05, 60G05
Key Words and Phrases: Bernoulli random variable, non-uniform bound, Poisson approximation, random sums
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DOI: 10.12732/ijpam.v90i1.1 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: 90
Issue: 1
