Improved exact confidence intervals for a proportion using ranked-set sampling

被引：0
作者：
Jesse Frey
Yimin Zhang
机构：
[1] Villanova University,Department of Mathematics and Statistics
来源：
Journal of the Korean Statistical Society | 2019年 / 48卷
关键词：
primary 62F25; secondary 62D05; Clopper-Pearson; Expected length; Imperfect rankings; Maximum likelihood estimation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We develop new exact confidence intervals for a proportion using ranked-set sampling (RSS). The existing intervals arise from applying the method of Clopper and Pearson (1934) to the total number of successes. We improve on the existing intervals by using the method of Blaker (2000) and by replacing the total number of successes with the maximum likelihood estimator of the proportion. The new intervals outperform the existing intervals in terms of average expected length, and they are also good in an absolute sense, as they come within a few percentage points of a new theoretical bound on the average expected length. Like the existing intervals, the new intervals use a perfect rankings assumption. They are no longer exact under imperfect rankings, but provide coverage close to nominal for mild departures from perfect rankings.
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页码：493 / 501
页数：8
相关论文
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