Mean Estimation Using Factor Type Estimator in Presence of Measurement Errors in Systematic Sampling

Abstract

This article proposes estimation of population mean using factor-type (F-T) estimator in the presence of measurement errors under systematic sampling scheme. The factor-type (F-T) estimator is biased and the expression of bias, MSE and optimum MSE of proposed estimator is obtained up to first order of approximation under the concept of large sample approximations and a comparative study of this estimator along with related pre-existing estimators is taken out. A simulation study has been performed to ratify the performance of proposed estimator in systematic sampling. The proposed factor-type (F-T) estimator is found better than other existing estimators as considered under in this study.

Keywords

measurement errors / systematic sampling / ratio estimator / factor-type (F-T) estimator / R software / FESO / NESO / RMSE / electronic throttle volve / least square algorithm

Author Contributions

A.Y.: Conceptualization, Methodology, Software, Writing-Original draft preparation; S.P.: Conceptualization, Methodology, Visualization, Investigation; N.S.T.: Supervision, Validation, Writing—Reviewing and Editing. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

No new data were generated or analyzed during this study.

Acknowledgments

Authors are deeply indebted to the editor-in-chief and learned referees of this journal for their valuable suggestions to improve the quality, contents and presentation of the research manuscript.

Conflicts of Interest

The authors declare no conflict of interest.

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