IJPAM: Volume 95, No. 4 (2014)

IMPROVED BOUNDS FOR
THE POISSON-BINOMIAL RELATIVE ERROR

K. Teerapabolarn$^1$, A. Boondirek$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND


Abstract. In this article, new uniform and non-uniform bounds on two forms of the relative error of the binomial cumulative distribution function with parameters $n$ and $p$ and the Poisson cumulative distribution function with mean $\lambda=np$ are determined. These are sharper than those reported in Teerapabolarn [#!KT3!#,#!KT4!#].

Received: June 12, 2014

AMS Subject Classification: 62E17, 60F05

Key Words and Phrases: cumulative distribution function, Poisson approximation, relative error, Stein-Chen method, $w$-function associated with the binomial random variable

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DOI: 10.12732/ijpam.v95i4.10 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: 95
Issue: 4
Pages: 577 - 588


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