SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 01, Month JANUARY, Year 2019, Pages 96 - 108

A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function

Kanint Teerapabolarn and Khunakorn Sae-Jeng

Abstract Download PDF

This paper uses Stein’s method and the characterization of beta binomial random variable to determine a non-uniform bound for the distance between the beta binomial cumulative distribution function with parameters and the binomial cumulative distribution function with parameters and Some numerical examples are given to illustrate the obtained result.

Keywords

beta binomial cumulative distribution function, binomial approximation, characterization of the beta binomial random variable, non-uniform bound, Stein’s method

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