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

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.

Automated summary

This article addresses the problem of estimating the finite population mean using two auxiliary variables under a two-stage sampling scheme. It proposes an improved class of estimators in their generalized form and derives the mathematical properties of both existing and proposed estimators up to the first order of approximation. The study identifies 11 members of the improved generalized class of estimators that are more efficient in terms of the percentage relative efficiency. Two real data sets under a two-stage sampling are used to compare the performances of all considered estimators.