IJPAM: Volume 89, No. 2 (2013)
A NEW BOUND ON POINTWISE POISSON APPROXIMATION
FOR RANDOM SUMS OF BERNOULLI RANDOM VARIABLES
FOR RANDOM SUMS OF BERNOULLI RANDOM VARIABLES
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 new bound for the point metric between the distribution of random sums of independent Bernoulli random variables and an appropriate Poisson distribution is obtained. The bound in this study is sharper than those reported in [#!KC!#].
Received: May 22, 2013
AMS Subject Classification: 62E17, 60F05, 60G05
Key Words and Phrases: Bernoulli random variable, point metric, Poisson approximation, random sums, Stein-Chen method
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DOI: 10.12732/ijpam.v89i2.2 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: 2013
Volume: 89
Issue: 2
