"An Effective Method for Estimating the Population Mean That Utilizes D" by Muhammad Asim Masood, Tarushree Bari et al.
 

An Effective Method for Estimating the Population Mean That Utilizes Dual Auxiliary Information

Document Type

Article

Publication Title

European Journal of Statistics

Abstract

To improve the effectiveness of population estimators, researchers have recently imple-mented dual supplementary information. They employed traditional rankings, the empirical cumulative distribution function, and indicator functions as supplementary sources of information in their anal-ysis. An improved family of population mean estimators is introduced in this article, which utilizes the relative ranks of the auxiliary information’s configurations to incorporate the relevant informa-tion. A first-order approximation is employed to derive the mathematical expressions for the bias and the mean-squared error (MSE) of the proposed family of estimators. The empirical analysis is investigated to demonstrate the practicality of the proposed estimators in real-world scenarios. Additionally, the theoretical conclusions are effectively validated by the Monte Carlo simulation in-tegration. Our results unequivocally indicate that the proposed family of estimators surpasses their current counterparts.

DOI

10.28924/ada/stat.4.13

Publication Date

1-1-2024

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