POINTWISE BINOMIAL APPROXIMATION TO THE GENERALIZED HYPERGEOMETRIC DISTRIBUTION

K. Teerapabolarn
2014 International Journal of Pure and Applied Mathematics  
In this paper, we use the result in [2] and the w-function associated with the generalized hypergeometric random variable to give a pointwise bound for the point metric between the generalized hypergeometric distribution with parameters α, β and N and the binomial distribution with parameters n = N −1 and p = 1 − q = β+1 α+β+2 . With this bound, it is observed that the desired result gives a good binomial approximation when α is sufficiently large.
doi:10.12732/ijpam.v95i3.7 fatcat:6poo55ygibbqjnwsnogepq5aam