An Efficient Exponential Estimator of Population Mean in the Presence of Median of the Study Variable

Abstract

Survey sampling practitioners have been working on efficiency improvement and bias reduction in finite population parameter estimation. We proposed an exponential estimator of population mean in the presence of median of study variable. The bias and mean square error of the proposed estimator were obtained using Taylor series method. The relative performance of the proposed estimators with respect to conventional and some existing estimators were assessed using three (3) natural dataset information. The novel median based estimator perform better than the conventional, usual mean, ratio, regression and other existing estimators considered in the study have been established. The empirical results shown that the proposed estimator is more efficient than the conventional and some existing estimators considered in the study.