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Generalized robust-regression-type estimators under different ranked set sampling
Mathematical Sciences ( IF 1.9 ) Pub Date : 2020-11-17 , DOI: 10.1007/s40096-020-00360-7
Nursel Koyuncu , Amer Ibrahim Al-Omari

In this paper, we have proposed a new generalized robust estimators of population mean under different ranked set sampling. Robust estimators are recently defined by Zaman and Bulut (Commun Stat Theory Methods 48(8):2039–2048, 2019a) and Ali et al. (Commun Stat Theory Methods, 2019. https://doi.org/10.1080/03610926.2019.1645857) under simple random sampling. We have generalized robust-type estimators where Zaman and Bulut (2019a) and Ali et al. (2019) estimators are members of our generalized estimator. We have also extended our results to ranked set and median ranked set sampling designs. The simulation study showed that our proposed robust-type estimator performs better.



中文翻译:

不同等级集抽样下的广义鲁棒回归型估计

在本文中,我们提出了一种新的广义均值鲁棒估计量,该估计量是在不同等级集抽样下的。Zaman和Bulut(Commun Stat Theory Methods 48(8):2039–2048,2019a)和Ali等人最近定义了稳健的估计量。(Commun Stat Theory Methods,2019.https://doi.org/10.1080/03610926.2019.1645857)在简单随机抽样下进行。我们对Zaman和Bulut(2019a)以及Ali等人的广义鲁棒型估计器进行了归纳。(2019)估算器是我们的广义估算器的成员。我们还将结果扩展到排名集和中位数排名集抽样设计。仿真研究表明,我们提出的鲁棒型估计器性能更好。

更新日期:2020-11-17
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