Improved generalized class of estimators in estimating the finite population mean using two auxiliary variables under two-stage sampling

Abstract

This article addresses the problem of estimating the finite population mean using two auxiliary variables under two-stage sampling scheme. Further the proposed improved class of estimators are provided their genralized form. Mathematical properties of the existing and proposed improved generalized class of estimators are derived up to first order of approximation. We identified 11 members of the improved generalized class of estimators which are more efficient than existing estimators in terms of the percentage relative efficiency. We use two real data sets under two-stage sampling to compare the performances of all of considered estimators.

Keywords

• bias
• mean square error
• auxiliary variables
• two-stage sampling
• efficiency