Weighted Strategy for Estimation of Finite Population Mean in Presence of Auxiliary Information

ABSTRACT

In sample designs, it is commonly recognized that using auxiliary information significantly increases an estimator’s precision. This manuscript introduces an weighted strategy for computing the finite population mean using auxiliary information in sample surveys. The equations for the mean squared error (MSE) of the proposed estimator are derived under large sampling approximation. A graphical representation of efficiency comparison is provided to show the ranges where the proposed estimator performs more efficiently. Additionally, a numerical analysis is conducted to evaluate the performance of the suggested estimator using actual datasets.

KEYWORDS:

• Auxiliary information
• optimum value
• weighted estimator

Acknowledgments

The author expresses gratitude to the Editor-in-Chief Prof. Jong-Min Kim and knowledgeable referee for their insightful suggestions regarding the improvement of this manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).