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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...
Autores principales: | , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2023
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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. |
format | Online Article Text |
id | pubmed-10632705 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
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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