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Ratio Estimators in the Presence of Outliers Using Redescending M-Estimator
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences ( IF 0.9 ) Pub Date : 2020-07-30 , DOI: 10.1007/s40010-020-00702-z
Muhammad Noor-ul-Amin , Salah-Ud-Din Asghar , Aamir Sanaullah

In this paper, the ratio estimators are suggested which perform better than other ratio estimators in the presence of outliers using redescending M-estimator. For this purpose, we adopt the ratio estimators proposed by Kadilar and Cingi (Appl Math Comput 151:893–902, 2004) using robust regression. The proposed ratio estimators are based on redescending M-estimator proposed by Noor-ul-Amin et al. (J Reliab Stat Stud 11(2):69–80, 2018). A simulation study is conducted to compare the proposed estimators with the available estimators in the literature. Two real-life examples are presented to demonstrate the performance of proposed estimators. Furthermore, a simulation study is conducted to prove the efficiency of the proposed estimators.



中文翻译:

使用重新上升的M估计值的异常值存在时的比率估计值

在本文中,提出了比率估计器,该值估计器在存在使用离群M估计器的异常值的情况下比其他比率估计器要好。为此,我们采用鲁棒回归,采用Kadilar和Cingi(Appl Math Comput 151:893–902,2004)提出的比率估计量。提议的比率估计器基于Noor-ul-Amin等人提出的重新升序M估计器。(J Reliab Stat Stud 11(2):69–80,2018)。进行了仿真研究,以将建议的估计量与文献中的可用估计量进行比较。给出了两个真实的例子,以证明拟议估计量的性能。此外,进行了仿真研究以证明所提出的估计器的效率。

更新日期:2020-07-31
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