Improved regression in ratio type estimators based on robust M-estimation

In this article,a new robust ratio type estimator using the Uk’s redescending M-estimator isproposed for the estimation of the finite population mean in the simple randomsampling (SRS) when there are outliers in the dataset. The mean square error(MSE) equation of the proposed estimator is obtained using the first order ofapproximation and it has been compared with the traditional ratio-typeestimators in the literature, robust regression estimators, and other existingredescending M-estimators. A real-life data and simulation study are used tojustify the efficiency of the proposed estimators. It has been shown that theproposed estimator is more efficient than other estimators in the literature onboth simulation and real data studies.