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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Kadilar C, Cingi H (2004) Ratio estimators in simple random sampling. Appl Math Comput 151:893–902
Noor-ul-Amin M, Asghar S, Sanaullah A (2018) Redescending M-estimator for robust regression. J Reliab Stat Stud 11(2):69–80
Noor-ul-Amin M, Shahbaz MQ, Kadilar C (2016) Ratio estimators for population mean using robust regression in double sampling. Gazi Univy J Sci 29(4):793–798
Kadilar C, Candan M, Cingi H (2007) Ratio estimation using robust regression. Hacet J Math Stat 36:181–188
Javaid A, Noor-ul-Amin M, Hanif M (2018) Modified ratio estimator in systematic random sampling under non-response. Proc Natl Acad Sci, India Sect A: Phys Sci. https://doi.org/10.1007/s40010-018-0509-3
Noor-ul-Amin M, Javaid A, Hanif M (2017) Estimation of population mean in systematic random sampling using auxiliary information. J Stat Manag Syst 20(6):1095–1106
Huber P (1981) Robust statistics. Wiley, New York
Ray SK, Singh RK (1981) Difference-cum-ratio type estimators. J Indian Stat Assoc 19:147–151
Edgeworth FY (1887) Observations relating to several quantities. Hermathena 6:279–285
Huber PJ (1973) Robust regression asymptotics, conjectures and monte carlo. Ann Stat 1:799–821
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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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DOI: https://doi.org/10.1007/s40010-020-00702-z