Efficient Utilization of Multiple Auxiliary Variables for Nonresponse Problem in Estimating the Population Mean Under Sub-Sampling Technique

Abstract

The main key objective of this paper is to address the nonresponse problems by adapting Hansen and Hurwitz’s technique (1946) and Saini et al.’s estimator (2022) to propose a novel estimator of population mean under sub-sampling technique using multiple auxiliary variables. A comparative analysis of the proposed novel estimator’s efficacy has been performed through theoretical and numerical studies. The results of this paper confirm that our estimator is more effective than others under the same situation.

Keywords

multiple auxiliary variables / nonresponse / sub-sampling / survey sampling

Author Contributions

This research was conducted by a single author responsible for the conceptualization, methodology, software writing, original draft preparation, investigation, writing, reviewing, and editing. The author has read and agreed to the published version of the manuscript.

Funding

This research was funded by KMUTT Fund from King Mongkut's University of Technology Thonburi.

Institutional Review Board Statement

This research is conducted without the involvement of humans or animals.

Informed Consent Statement

This research is conducted without the involvement of humans or animals.

Data Availability Statement

The data that support the findings of this study are available in Khare and Sinha (2007) and Khare and (2014),reference number [10,11], respectively.

Conflicts of Interest

The author declares no conflict of interest.

References

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[10] Khare B.B.; Sinha R.R. Estimation of the ratio of the two populations means using multi-auxiliary characters in the presence of nonresponse. In Statistical Techniques in Life Testing, Reliability, Sampling Theory and Quality Control; Narosa Publishing House, New House: New Delhi, India, 2007; pp. 163-171.

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