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2015•International Journal of Pure and Apllied MathematicsOpen access

NEGATIVE BINOMIAL APPROXIMATION TO THE BETA BINOMIAL DISTRIBUTION

K. Teerapabolarn

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Abstract

This paper determines a bound on the approximation of the beta binomial distribution with parameters n, α and β by a negative binomial distribution with parameters α and α+β α+β+n .With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution when β is large.

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What this paper is about

This paper determines a bound on the approximation of the beta binomial distribution with parameters n, α and β by a negative binomial distribution with parameters α and α+β α+β+n .With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution when β is large.

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Available abstract

This paper determines a bound on the approximation of the beta binomial distribution with parameters n, α and β by a negative binomial distribution with parameters α and α+β α+β+n .With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution when β is large.

Key concepts: Beta-binomial distribution, Binomial distribution, Beta negative binomial distribution, Mathematics, Negative binomial distribution, BETA (programming language), Beta distribution, Statistics

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