In this paper, a new sampling method is introduced by ordering the maxima of ranked set samples with unequal sizes. In this new modification of ranked set sampling which is called OMRSSU, the pdf, cdf and joint pdf are obtained. Also, a new distribution-free prediction interval for future order statistics is derived. In addition, the moments of OMRSSU for exponential distribution are computed and then the best linear unbiased estimators of exponential distribution are obtained using OMRSSU. Finally, a comparison is made between BLUE-OMRSSU and the BLUE based on ranked set sampling, ordered ranked set sampling, maximum ranked set sampling and order statistics from a simple random sample.

中文翻译：

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具有不等样本的有序最大排序集抽样

本文介绍了一种新的抽样方法，通过对大小不等的排序集样本的最大值进行排序。在这个称为 OMRSSU 的排序集采样的新修改中，获得了 pdf、cdf 和联合 pdf。此外，还导出了用于未来订单统计的新的无分布预测区间。此外，计算指数分布的 OMRSSU 矩，然后使用 OMRSSU 获得指数分布的最佳线性无偏估计量。最后，基于排序集抽样、有序排序集抽样、最大排序集抽样和简单随机样本的排序统计，对BLUE-OMRSSU和BLUE进行了比较。