Calibration-Based Product Estimator in Single- and Two-Phase Sampling

Abstract

An estimator of population total is developed using the calibration approach under the assumption that the auxiliary variable is negatively correlated with the study variable. The proposed estimator outperforms the usual product estimator in terms of the criteria of bias and mean square error. An improved estimator of the variance of the proposed estimator is developed using the calibration approach a second time. The two-phase sampling case has also been dealt with. The theoretical results are demonstrated through a simulation study.

Keywords:

• 62F10
• 62C15

Keywords:

• Auxiliary information
• Calibration approach
• Product estimator
• Two-phase sampling

Acknowledgments

The authors are grateful to the guest editor of the special issue and an anonymous referee for their useful comments on an earlier version of the article. The critical comments have resulted in a considerable improvement in the article.

This article is dedicated to the memory of the late Professor Jagdish N. Srivastava.