Abstract
This paper uses Stein’s method and w-functions to determine a uniform bound for the Kolmogorov distance between the cumulative distribution function of a non-negative integer-valued random variable X and the negative binomial cumulative distribution function with parameters 0 r > and 1( 0,1) pq =− ∈ , where () rq p EX = and () EX is the mean of X. Two examples are provided to
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