IJPAM: Volume 78, No. 5 (2012)
TO THE PÓLYA DISTRIBUTION
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. This paper uses Stein's method and the characterization associated with the Pólya random variable to give a bound for the total variation distance between the binomial and Pólya distributions.
Received: January 16, 2012
AMS Subject Classification: 62E17, 60F05
Key Words and Phrases: binomial approximation, negative hypergeometric distribution, Pólya distribution, total variation distance, Stein's method
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395