1972TechnometricsRequires access

A Simple Approximation to the Negative Binomial (And Regular Binomial)

William C. Guenther

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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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What this paper is about

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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Available 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.

Key concepts: Binomial approximation, Negative binomial distribution, Mathematics, Negative multinomial distribution, Binomial proportion confidence interval, Binomial distribution, Continuity correction, Binomial (polynomial)

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