Mean Estimation in Presence of Measurement Errors Using Log Type Estimators

Authors

  • Shashi Bhushan Department of Statistics, University of Lucknow, Lucknow, U.P., India
  • Anoop Kumar Department of Statistics, Central University of Haryana, Mahendergarh, India
  • Shivam Shukla Department of Statistics, Amity School of Applied Sciences, Amity University Uttar Pradesh, Lucknow, India

Keywords:

Mean square error, efficiency, simulation study

Abstract

This article introduces some log type class of mean estimators in the case of measurement errors (ME) using simple random sampling (SRS). The mean square error of the proposed estimators is obtained when data on both the study and auxiliary variables are commingled with ME. The performance of the proposed estimators is compared with the existing estimators and the efficiency conditions are derived. Further, the performance of the proposed estimators is illustrated through numerical and simulation studies using some real and artificially generated populations. The results of numerical and simulation studies show that the proposed estimators dominate the usual mean estimator, classical ratio and product estimators.

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Published

2025-03-29

How to Cite

Bhushan, S. ., Kumar, A. ., & Shukla, S. . (2025). Mean Estimation in Presence of Measurement Errors Using Log Type Estimators. Thailand Statistician, 23(2), 258–268. retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/258535

Issue

Vol. 23 No. 2 (2025): April

Section

Articles

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