On Efficient Ratio Estimation of Population Mean by Multivariate Calibration Weightings in Double Sampling for Stratification

Abstract

This study proposed a new ratio estimator for estimating population mean in stratified double sampling using the principle of multivariate calibration weightings. The bias and Mean Square Error (MSE) expressions for the proposed estimator are obtained under large sample approximation. Analytical results showed that under certain prescribed conditions, the new estimator is more efficient than all related existing estimators under review. The relative performances of the new estimator with a corresponding Global Estimator were evaluated through a simulation study. Numerical and simulation results proved the dominance of the new estimator.