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Research Article Open access CC BY 4.0

Modified Class of Estimator for Finite Population Mean Under Two-Phase Sampling Using Regression Estimation Approach

A. Y. Erinola, R. V. K. Singh, A. Audu, T. James

Asian Journal of Probability and Statistics · pp. 52–64 · Published 30 Sep 2021

10.9734/ajpas/2021/v14i430338

Abstract

This study proposed modified a class of estimator in simple random sampling for the estimation of population mean of the study variable using as axillary information. The biases and MSE of suggested estimators were derived up to the first order approximation using Taylor’s series expansion approach. Theoretically, the suggested estimators were compared with the existing estimators in the literature. The mean square errors (MSE) and percentage relative efficiency (PRE) of proposed estimators and that of some existing estimators were computed numerically and the results revealed that the members of the proposed class of estimator were more efficient compared to their counterparts and can produce better estimates than other estimators considered in the study.

Auxiliary attribute ratio-exponential estimators mean square error efficiency two-phase sampling

Cited by 6

Estimation of the finite population mean using extreme values and ranks of the auxiliary variable in two-phase sampling

Hleil Alrweili, Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia; hleil.alrweili@nbu.edu.sa, Fatimah A. Almulhim · AIMS Mathematics · 2025

Optimizing Finite Population Mean Estimation Using Simulation and Empirical Data

Abdulaziz S. Alghamdi, Fatimah A. Almulhim · Mathematics · 2025

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