Class of Ratio-Cum-Product Type Estimator under Double Sampling: A Simulation Study

Abstract

In the present paper, a class of ratio-cum-product type estimator has been developed for estimating the population mean of the study variable using an auxiliary variable under two-phase sampling. The expressions for the biases and mean squared errors (MSE’s) have been obtained to the first-order of approximation. Theoretical and empirical study has been done to compare the performance of the proposed estimator with the existing estimators that utilize auxiliary information for finite population mean. Both the theoretical and empirical study concludes that the proposed estimator for estimation of mean perform better than the usual unbiased estimators and other existing estimators.