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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