IJPAM: Volume 87, No. 4 (2013)
AN EXTENSION OF
POISSON APPROXIMATION BY
-FUNCTIONS
POISSON APPROXIMATION BY
-FUNCTIONS
K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND
Abstract. We extend the result of Poisson approximation [#!M!#] to approximate the distribution of a sum of independent non-negative integer-valued random variables. A general upper bound for the total variation distance in terms of each -function is obtained. Examples have been given to illustrate applications of the result.
Received: May 7, 2013
AMS Subject Classification: 62E17, 60F05, 60G50
Key Words and Phrases: Poisson approximation, Stein-Chen method, -functions
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DOI: 10.12732/ijpam.v87i4.3 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: 4
