IJPAM: Volume 84, No. 4 (2013)

A NEW BOUND ON POISSON APPROXIMATION
FOR INDEPENDENT GEOMETRIC VARIABLES

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


Abstract. The Stein-Chen method is used to improve the bound in [3] to be more appropriate for measuring the accuracy of Poisson approximation with mean λ=Σi=1nqi for a sum of independently distributed geometric random variables.

Received: January 16, 2013

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

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

Download paper from here.


DOI: 10.12732/ijpam.v84i4.11 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: 84
Issue: 4