A Comparative Study of New Ratio-Type Family of Estimators Under Stratified Two-Phase Sampling

Abdulaziz S. Alghamdi and Hleil Alrweili ()
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Abdulaziz S. Alghamdi: Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia
Hleil Alrweili: Department of Mathematics, College of Science, Northern Border University, Arar 91431, Saudi Arabia

Mathematics, 2025, vol. 13, issue 3, 1-22

Abstract: Two-phase sampling is a useful technique for sample surveys, particularly when prior auxiliary data is not accessible. The ranks of the auxiliary variable often coincide with those of the research variable when two variables are correlated. By considering this relationship, we can significantly increase estimator accuracy. In this paper, we use the ranks of the auxiliary variable along with extreme values to estimate the population mean of the study variable. Up to a first-order approximation, we analyze the characteristics of the suggested class of estimators with an emphasis on biases and mean squared errors in stratified two-phase sampling. The theoretical results are verified using different datasets and a simulation study, which demonstrates that the proposed estimators outperform the existing ones in terms of percent relative efficiency.

Keywords: mean estimation; exponential estimators; stratified two-phase sampling; ranks; outliers; simulation; percent relative efficiency; mean absolute percentage error (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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