In the presence of outliers in the data set, the utilization of robust regression tools for mean estimation is a widely established practice in survey sampling with single auxiliary variable.… Click to show full abstract
In the presence of outliers in the data set, the utilization of robust regression tools for mean estimation is a widely established practice in survey sampling with single auxiliary variable. Abid et al. [1], with the aid of some non-conventional location measures and traditional OLS, proposed a class of mean estimators using information on two supplementary variates under a simple random sampling framework. The utilization of non-traditional measures of location, especially in the presence of outliers, performed better than existing conventional estimators. In this study, we have proposed a new class of estimators of mean utilizing quantile regression. The general forms of MSE and MMSE are also derived. The theoretical findings are being reinforced by different real-life data sets and simulation study.
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