Median based modified ratio estimators for the estimation of finite population mean with known quartiles and median and skewness

Authors

  • R. Srija Department of Science and Humanities, Dhaanish Ahmed Institute of Technology, Coimbatore - 641 105, Tamilnadu, India.
  • B.Muthu Deepika Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Tamilnadu, India.
  • T. Nagalakshmi Department of Mathematics, Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, Avadi-600 062, Tamilnadu, India.
  • Visalakshi Subramanian Department of Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur - 602 117, Tamilnadu, India.

Abstract

The current study examines a few modified ratio estimators based on ratio-cum-median estimators for predicting the finite population mean using known auxiliary variable parameters such as quartiles, median, skewness, and their linear combinations. The efficiency of the proposed estimators is evaluated both algebraically and numerically and compared with the sample mean and the conventional ratio estimator under Simple Random Sampling Without Replacement (SRSWOR). The numerical comparison demonstrates that the proposed estimators outperform both the conventional ratio estimator and the sample mean under SRSWOR.

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Published

2026-08-30

Issue

Vol. 33 No. 3 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 R. Srija , B.Muthu Deepika, T. Nagalakshmi, Visalakshi Subramanian

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Median based modified ratio estimators for the estimation of finite population mean with known quartiles and median and skewness. (2026). Nonlinear Studies, 33(3), 1021-1029. https://nonlinearstudies.com/index.php/nonlinear/article/view/4467