IJPAM: Volume 80, No. 5 (2012)
AN IMPROVEMENT OF BOUND ON
THE POISSON-BINOMIAL RELATIVE ERROR
THE POISSON-BINOMIAL RELATIVE ERROR
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. We use the Stein-Chen method to obtain new uniform bounds for the relative error of the binomial cumulative distribution function with parameters and
and the Poisson cumulative distribution function with mean
. The results obtained in this study are better than those reported in [#!KT2!#].
Received: August 21, 2012
AMS Subject Classification: 62E17, 60F05
Key Words and Phrases: cumulative distribution function, Poisson approximation, relative error, Stein-Chen method
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 5