Abstract

In this paper, a modified extreme ranked set sampling (MERSS) scheme is presented. The ratio estimator under the modified scheme is discussed, and expression of mean square error is derived. The performance of the ratio estimator under MERSS is compared with simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS), quartile ranked set sampling (QRSS) and extreme ranked set sampling (ERSS). A simulation study is conducted, and the results showed that MERSS provides the efficient results as compared to SRS, RSS, MRSS, QRSS and ERSS.

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