A Simple Approximation to the Negative Binomial (And Regular Binomial)
William C. Guenther
Abstract
William C. Guenther
Abstract
An approximation for negative binomial sums involving a minimum of arithmetic is presented. Because of the relationship between negative binomial sums and regular binomial sums the approximation can be used for the latter also and for any distribution related to the binomial (such as the beta and F). The accuracy obtained is surprisingly good.
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An approximation for negative binomial sums involving a minimum of arithmetic is presented. Because of the relationship between negative binomial sums and regular binomial sums the approximation can be used for the latter also and for any distribution related to the binomial (such as the beta and F). The accuracy obtained is surprisingly good.
Key concepts: Binomial approximation, Negative binomial distribution, Mathematics, Negative multinomial distribution, Binomial proportion confidence interval, Binomial distribution, Continuity correction, Binomial (polynomial)