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Ratio Estimators in the Presence of Outliers Using Redescending M-Estimator

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Abstract

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.

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Correspondence to Muhammad Noor-ul-Amin.

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Noor-ul-Amin, M., Asghar, SUD. & Sanaullah, A. Ratio Estimators in the Presence of Outliers Using Redescending M-Estimator. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 65–70 (2022). https://doi.org/10.1007/s40010-020-00702-z

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