Ranked-Set-Sample-Based Tests for Normal and Exponential Means |
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| Authors: | Yu-Ling Tseng Shao-Wei Wu |
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| Institution: | 1. Department of Applied Mathematics , National Dong Hwa University , Hualien, Taiwan yltseng@mail.ndhu.edu.tw;3. Department of Applied Mathematics , National Dong Hwa University , Hualien, Taiwan |
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| 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. |
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| Keywords: | Exponential mean Median-ranked-set-sample Normal mean Ranked-set-sample Test Working formulas |
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