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

摘要

This paper uses Stein’s method and the characterization of beta binomial random variable to determine a non-uniformbound for the distance between the beta binomial cumulative distribution function with parameters N, 0 n ? ? ? and 0??and the binomial cumulative distribution function with parameters nand????. Some numerical examples are given to illustratethe obtained result.