Enhanced estimation of population mean using simple random sampling

Abstract

The present study suggests an enhanced class of estimators for the population mean estimation utilizing simple random sampling (SRS). The bias, mean square errors (MSE), and minimum MSE of the suggested estimators are computed to the approximation of order one. The efficiency conditions are obtained by comparing the MSE of the proposed and existing estimators. An empirical investigation is carried out using some real and artificially generated symmetric and asymmetric populations. The empirical findings are observed to be positive, clearly demonstrating the preponderance of the suggested estimators over the existing estimators.

KEYWORDS:

• Mean square error
• efficiency
• enhanced estimation
• numerical study
• simulation study

Acknowledgment

The authors are extremely grateful to the learned referees for their valuable comments and to Editor-in-Chief.

Disclosure statement

No potential conflict of interest was reported by the author(s).