IJPAM: Volume 82, No. 5 (2013)
THE POISSON-BINOMIAL RELATIVE ERROR
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. A simple mathematical method is used to determine the least upper bound on the relative error between the binomial cumulative distribution function with parameters and and the Poisson cumulative distribution function with mean . With this upper bound, the Poisson cumulative distribution function with this mean can be used as an estimate of the binomial cumulative distribution function when is sufficiently small even if is rather large. By numerical comparison, the upper bound obtained in this study is sharper than those reported in Teerapabolarn [#!KT2!#].
Received: October 25, 2012
AMS Subject Classification: 62E17, 60F05
Key Words and Phrases: binomial distribution, cumulative distribution function, least upper bound, Poisson distribution, relative error
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DOI: 10.12732/ijpam.v82i5.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395