A simulation study: Robust ratio double sampling estimator of finite population mean in the presence of outliers

Articles in Press

Document Type : Research Note

Authors

1 Cankırı Karatekin University, Faculty of Science, Department of Statistics, 18100 Cankırı, Turkey

2 Ondokuz Mayıs University, Faculty of Science, Department of Statistics, 55139 Samsun, Turkey

Abstract

In this study, we suggest a family of ratio estimators for the population mean parameter using various robust regression techniques. These robust regressions techniques are Huber MM, LTS, and LMS estimates. We evaluate the performance of estimators in terms of the mean square error (MSE), and we compare the efficiency of our proposed robust-regression-ratio-type estimators with existing estimators under the optimal conditions. These comparisons show that our robust ratio-type estimators give more efficient results than the existing estimators under double sampling. In addition, the simulation and the empirical studies based on a data set that includes unusual observations show that our proposed estimators have a lower MSE than the existing estimators.

Keywords

References

References
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Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 05 October 2021

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