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Enhancing mean estimators in median ranked set sampling with dual auxiliary information

When measuring the research variable is complicated, expensive, or problematic, median ranked set sampling (MRSS) is often utilized since it is straightforward to rank the components using a low-cost sorting criterion. Using this sampling scheme, many authors considered the problem of population mea...

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Autores principales: Alharbi, Randa, Mustafa, Manahil SidAhmed, Al Mutairi, Aned, Hussein, Mohamed, Yusuf, M., Elshenawy, Assem, Nassr, Said G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10632705/
https://www.ncbi.nlm.nih.gov/pubmed/37954271
http://dx.doi.org/10.1016/j.heliyon.2023.e21427
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author Alharbi, Randa
Mustafa, Manahil SidAhmed
Al Mutairi, Aned
Hussein, Mohamed
Yusuf, M.
Elshenawy, Assem
Nassr, Said G.
author_facet Alharbi, Randa
Mustafa, Manahil SidAhmed
Al Mutairi, Aned
Hussein, Mohamed
Yusuf, M.
Elshenawy, Assem
Nassr, Said G.
author_sort Alharbi, Randa
collection PubMed
description When measuring the research variable is complicated, expensive, or problematic, median ranked set sampling (MRSS) is often utilized since it is straightforward to rank the components using a low-cost sorting criterion. Using this sampling scheme, many authors considered the problem of population mean estimation with a single auxiliary variable in order to obtain more precised estimators than the traditional ratio type regression estimators. In this article, we extend their ideas based on regression approach using two auxiliary variables and introduce a new regression-type estimator along with its theoretical expression of minimum mean square error (MSE). The suggested estimator's applicability is demonstrated using both simulated and real-world data sets.
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spelling pubmed-106327052023-11-10 Enhancing mean estimators in median ranked set sampling with dual auxiliary information Alharbi, Randa Mustafa, Manahil SidAhmed Al Mutairi, Aned Hussein, Mohamed Yusuf, M. Elshenawy, Assem Nassr, Said G. Heliyon Research Article When measuring the research variable is complicated, expensive, or problematic, median ranked set sampling (MRSS) is often utilized since it is straightforward to rank the components using a low-cost sorting criterion. Using this sampling scheme, many authors considered the problem of population mean estimation with a single auxiliary variable in order to obtain more precised estimators than the traditional ratio type regression estimators. In this article, we extend their ideas based on regression approach using two auxiliary variables and introduce a new regression-type estimator along with its theoretical expression of minimum mean square error (MSE). The suggested estimator's applicability is demonstrated using both simulated and real-world data sets. Elsevier 2023-10-24 /pmc/articles/PMC10632705/ /pubmed/37954271 http://dx.doi.org/10.1016/j.heliyon.2023.e21427 Text en © 2023 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Alharbi, Randa
Mustafa, Manahil SidAhmed
Al Mutairi, Aned
Hussein, Mohamed
Yusuf, M.
Elshenawy, Assem
Nassr, Said G.
Enhancing mean estimators in median ranked set sampling with dual auxiliary information
title Enhancing mean estimators in median ranked set sampling with dual auxiliary information
title_full Enhancing mean estimators in median ranked set sampling with dual auxiliary information
title_fullStr Enhancing mean estimators in median ranked set sampling with dual auxiliary information
title_full_unstemmed Enhancing mean estimators in median ranked set sampling with dual auxiliary information
title_short Enhancing mean estimators in median ranked set sampling with dual auxiliary information
title_sort enhancing mean estimators in median ranked set sampling with dual auxiliary information
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10632705/
https://www.ncbi.nlm.nih.gov/pubmed/37954271
http://dx.doi.org/10.1016/j.heliyon.2023.e21427
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