MEDIAN BASED MODIFIED RATIO ESTIMATORS WITH LINEAR COMBINATIONS OF POPULATION MEAN AND MEDIAN OF AN AUXILIARY VARIABLE

Abstract

In this paper two new median based modified ratio estimators for the estimation of finite population mean using the linear combinations of population mean and median of the auxiliary variable have been proposed. The bias and mean squared error of the proposed estimators are derived and the mean squared errors are compared with that of the SRSWOR sample mean, ratio estimator, linear regression estimator and median based ratio estimator for certain natural populations. It is observed from the numerical comparisons that the proposed median based modified ratio estimators have outperformed the existing estimators including the linear regression estimator.