On interval estimation of the population mean in ranked set sampling

Abstract

This article studies interval estimation of the population mean in ranked set sampling. Eight types of confidence intervals are considered which are based on asymptotic theory, resampling methods, or a combination of them. A comprehensive simulation study is conducted to investigate performance of these intervals, and to deal with some limitations of a relevant work in the literature. Lastly, a data example is presented to illustrate the procedures.

Keywords:

• Asymptotic theory
• Judgment ranking
• Mean estimation
• Resampling methods

Mathematical Subject Classification 2010:

• 62G09
• 62G30

Acknowledgments

The authors wish to express their gratitude to an associate editor, and two anonymous reviewers for fruitful comments on this article.

Notes

1 http://lib.stat.cmu.edu/datasets/bodyfat.