IJPAM: Volume 87, No. 2 (2013)

IMPROVEMENT OF POISSON APPROXIMATION
FOR INDEPENDENT GEOMETRIC TRIALS

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


Abstract. We use the Stein-Chen method to improve the bound in [#!KP!#] to be more appropriate for the Poisson approximation to a sum of independently distributed geometric random variables.

Received: March 26, 2013

AMS Subject Classification: 62E17, 60F05, 60G50

Key Words and Phrases: distribution function, geometric random variable, Poisson approximation, Stein-Chen method

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DOI: 10.12732/ijpam.v87i2.7 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 87
Issue: 2