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Data · collection · 2016

Exact Optimal Confidence Intervals for Hypergeometric Parameters

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For a hypergeometric distribution, denoted by Hyper(M,N,n), where N is the population size, M is the number of population units with some attribute, and n is the given sample size, there are two parametric cases: (i) N is unknown and M is given; (ii) M is unknown and N is given.

Description

For each case, we first show that the minimum coverage probability of commonly used approximate intervals is much smaller than the nominal level for any n , then we provide exact smallest lower and upper one-sided confidence intervals and an exact admissible two-sided confidence interval, a complete set of solutions, for each parameter.

Supplementary materials for this article are available online.

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Cancer · Medicine & Health

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DataCite10.6084/m9.figshare.c.2175198.v112 d agoJSON v1
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