Improving the efficiency of the ratio/product estimators of the population mean in stratified random samples

The efficiency of a statistic determines its efficacy. In stratified random sampling, many estimators for the population mean has been proposed. In this paper, we propose two new estimators both of which are combined ratio/product estimators. We refer to our estimators as mixture estimators. We derive the mean square errors (MSEs) up to the first order. A comprehensive simulation study was carried out to show the effectiveness of our estimators as compared to the conventional estimators that utilize auxiliary information. We also compared the performance of our estimators and some of the more popular competing estimators using real data. Both the simulations and real data analysis showed our estimators were more efficient than almost all existing estimators considered.