IJPAM: Volume 98, No. 1 (2015)
THE BETA BINOMIAL DISTRIBUTION
Department of Mathematics
Faculty of Science
Chonburi, 20131, THAILAND
Abstract. This paper determines a bound on the approximation of the beta binomial distribution with parameters , and by a negative binomial distribution with parameters and . With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution when is large.
Received: August 18, 2014
AMS Subject Classification: 62E17, 60F05
Key Words and Phrases: beta binomial distribution, negative binomial approximation, Stein's method, -function associated with the beta binomial random variable
Download paper from here.
DOI: 10.12732/ijpam.v98i1.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 39 - 43