Generalized ratio-cum-product type exponential estimation of the population mean in median ranked set sampling.

Section: Research Paper
Issue
Vol. 19 No. 1 (2022): Volume 19 Issue 1
Published
Jun 25, 2025
Pages
54-66

Abstract

This study presents a proposal to estimate the finite population's mean of the main variable by median ranked set sampling MRSS through the generalized ratio-cum-product type exponential estimator. The relative bias PRB, mean squared error Mse, and percentage relative efficiencies PRE of the proposed estimator is obtained to the first degree of approximation. The proposed estimator are more efficient than the usual unbiased estimator, ratio, product type, and other estimators. Finally, the estimators' abilities are evaluated through simulations, showing that the proposed estimator is more efficient than several other estimators.

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Authors

Rikan .AL_Rahman

Department of Informatics and Statistic, College of Computer Science and Mathematical , University of Mosul, Mosul, Iraq

ORCID
Saja Mohammad

Department of Statistics/College of Administration and Economics/ Baghdad University, Iraq

ORCID

Identifiers

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How to Cite

.AL_Rahman, R., ریکان, Mohammad, S., & سجا. (2025). Generalized ratio-cum-product type exponential estimation of the population mean in median ranked set sampling. IRAQI JOURNAL OF STATISTICAL SCIENCES, 19(1), 54–66. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20995