Ranked-Set-Sample-Based Tests for Normal and Exponential Means

Abstract

We consider the problems of testing a normal mean and an exponential mean under the median ranked set sampling (MRSS) scheme. The tests based on MRSS outperform those based on the usual ranked-set samples. In addition, through heuristic arguments we postulate working formulas for computing cut-off points for RSS-based and MRSS-based tests, respectively. Our simulation studies indicate these formulas perform surprisingly well, even for small samples, and solve the task of computation for large samples.

Keywords:

• Exponential mean
• Median-ranked-set-sample
• Normal mean
• Ranked-set-sample
• Test
• Working formulas

Mathematics Subject Classification:

• Primary 62F25
• Secondary 62C20, 62C15

Acknowledgment

This research was in part by the grant numbered 90-2118-M-259-002 of the National Science Council, Taiwan.