Two-exponential estimators for estimating population mean

Abstract

We introduce two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable. Some properties of the proposed two-exponential shrinkage estimator are presented. The mathematical comparison in terms of the mean square error is done in order to demonstrate some conditions for which the proposed shrinkage estimators is more efficient than the already existing estimators in literature. A real life application is provided to show the performance of the proposed shrinkage estimator.

Keywords

• auxiliary variable
• mean square error
• two stage sampling
• two phase sampling
• first stage sampling unit
• second stage sampling unit