
doi: 10.2307/3315916
Summary: The author describes a method for improving standard ``exact'' confidence intervals in discrete distributions with respect to size while retaining correct level. The binomial, negative binomial, hypergeometric, and Poisson distributions are considered explicitly. Contrary to other existing methods, the author's solution possesses a natural nesting condition: if \(\alpha <\alpha'\), the \(1-\alpha'\) confidence interval is included in the \(1-\alpha\) interval. Nonparametric confidence intervals for a quantile are also considered.
Parametric tolerance and confidence regions, acceptability, hypergeometric distribution, Poisson distribution, nested conficence regions, p-value, binomial distribution, negative binomial distribution
Parametric tolerance and confidence regions, acceptability, hypergeometric distribution, Poisson distribution, nested conficence regions, p-value, binomial distribution, negative binomial distribution
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