Calibration Estimators under Two Auxiliary Variables using Linear and Non-Linear Constraints in Sample Surveys

Abstract

The calibration approach based estimators of population parameters improves their efficiency by borrowing strength from available auxiliary variables effectively. In the present article, calibrated estimators of the population mean incorporating two-auxiliary variables under non-linear constraints are proposed and the properties of the estimators are discussed under relevant sampling designs. In addition empirical analysis supported with simulation study is also performed and checked for the superiority of the proposed estimators.