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.

中文翻译：

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具有辅助变量的修正极端排序集抽样

本文提出了一种改进的极端排序集抽样（MERSS）方案。讨论了改进方案下的比率估计器，并推导了均方误差的表达式。将MERSS下比率估算器的性能与简单随机抽样（SRS），排名集抽样（RSS），中位排名集抽样（MRSS），四分位数排名集抽样（QRSS）和极端排名集抽样（ERSS）进行比较。进行了仿真研究，结果表明，与SRS，RSS，MRSS，QRSS和ERSS相比，MERSS提供了有效的结果。