IJPAM: Volume 86, No. 1 (2013)

A NEW NON-UNIFORM BOUND ON
THE POISSON-BINOMIAL RELATIVE ERROR

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND


Abstract. The Stein-Chen method is used to determine new non-uniform bounds on two forms of the relative error between the binomial and Poisson cumulative distribution functions. The bounds obtained in this study are sharper than those reported in Teerapabolarn [6].

Received: February 26, 2013

AMS Subject Classification: 62E17, 60F05

Key Words and Phrases: cumulative distribution function, Poisson approximation, relative error, Stein-Chen method

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DOI: 10.12732/ijpam.v86i1.4 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: 86
Issue: 1