The shortest confidence interval for proportion in finite populations
Volume 43 / 2016
Applicationes Mathematicae 43 (2016), 173-183
MSC: Primary 62F25; Secondary 62D99.
DOI: 10.4064/am2297-7-2016
Published online: 30 September 2016
Abstract
Consider a finite population. Let $\theta \in (0,1)$ denote the proportion of units with a given property. The problem is to estimate $\theta $ on the basis of a sample drawn according to simple random sampling without replacement. We are interested in interval estimation of $\theta $. We construct the shortest confidence interval at a given confidence level.
