IJPAM: Volume 80, No. 5 (2012)
THE POISSON-BINOMIAL RELATIVE ERROR
Department of Mathematics
Faculty of Science
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