Advances and Applications in Statistics

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ESTIMATION OF POPULATION MEAN WITH LOGARITHMIC TYPE RATIO ESTIMATORS: APPLICATIONS AND SIMULATION STUDY

Authors

  • Sadiah Aljeddani

Keywords:

auxiliary variable, outliers, logarithm, mean square error, PRE, simulation study

DOI:

https://doi.org/10.17654/0972361725077

Abstract

This study is motivated by Brar et al. and two general classes along special members are presented. The bias and MSE are derived up to order one. For significance, a real data of number of apples and the number of trees which consists of extreme values are considered. The findings conclude that the proposed estimators perform better than the existing ones but when we choose $G_{(x)}=Q \cdot D$ and $H_{(x)}=1 \mathrm{in}$. the first proposed estimator, and $G_{(x)}=1$ in the second proposed estimator, the relative efficiency is increased by 200 and 355 , respectively. Similarly, the simulation study concluded that the same members of the proposed families outperform as compared to others with different sample sizes and correlation values.

Received: September 25, 2025
Accepted: November 1, 2025

References

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Published

17-12-2025

Issue

Vol. 92 No. 12 (2025)

Section

Articles

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How to Cite

ESTIMATION OF POPULATION MEAN WITH LOGARITHMIC TYPE RATIO ESTIMATORS: APPLICATIONS AND SIMULATION STUDY. (2025). Advances and Applications in Statistics , 92(12), 1837-1853. https://doi.org/10.17654/0972361725077

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