Simulation Study on Estimation of Mean Per Unit Estimator with Known Coefficient of Variation

Abstract

One of the aims in survey sampling is to search for the estimators with highest efficiency. In the present paper, an improved estimator over the mean per unit estimator of population mean with known coefficient of variation is proposed. The conditions under which the proposed estimators perform better than the other existing estimators of population mean have been given. A numerical study is also carried out to see the performances of the proposed and existing estimators of population mean and verify the conditions under which proposed estimators are better than other estimators. And a simulation study has been done to verify the   proposed estimators perform better than the existing estimators as they are having lesser mean squared error.