On the Efficiency of Generalized Version Exponential Ratio Cum to Dual-Ratio Cum Type Estimator Via Robust Measure

Abstract

Ratio-cum to Dual ratio-cum type of population mean is addressed under known influence of auxiliary variable which is designed to be resistant to the effects of outliers Datasets. The expression for the bias, mse and mmse of the proposed estimator is studied and optimality is tested. Theoretical efficiency comparison of the proposed estimator over some existing estimators of the same characteristics reviews are established. The performance is evaluated used metrics mention in support of theoretical results, however considered on two Natural and simulated datasets using R script. Results indicate the superiority of proposed estimator over existing estimators except for some few cases. Therefore, the proposed estimator is recommended for use in practical application particularly in presence of outlier or extreme Values in estimating population mean of the study variable.