1970•TechnometricsRequires access

Note on Tolerance Limits for a Binomial Distribution

G. David Faulkenberry

Abstract

A method is given for using a confidence interval on the parameter p of a binomial distribution to obtain a tolerance interval on the distribution. An example is given to illustrate the setting in which tolerance limits for a binomial distribution might be useful, and to demonstrate that the calculations are relatively easy with a good set of binomial tables.

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Key concepts: Mathematics, Statistics, Negative multinomial distribution, Binomial distribution, Negative binomial distribution, Binomial proportion confidence interval, Beta-binomial distribution, Binomial (polynomial)