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Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling
In survey sampling, information on auxiliary variables related to the main variable is often available in many practical problems. Since the mid-twentieth century, researchers have taken a keen interest in the use of auxiliary information due to its usefulness in estimation methods. The current stud...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
SAGE Publications
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10450482/ https://www.ncbi.nlm.nih.gov/pubmed/36168269 http://dx.doi.org/10.1177/00368504221128486 |
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author | Hussain, Sardar Akhtar, Sohail El-Morshedy, Mahmoud |
author_facet | Hussain, Sardar Akhtar, Sohail El-Morshedy, Mahmoud |
author_sort | Hussain, Sardar |
collection | PubMed |
description | In survey sampling, information on auxiliary variables related to the main variable is often available in many practical problems. Since the mid-twentieth century, researchers have taken a keen interest in the use of auxiliary information due to its usefulness in estimation methods. The current study presents two new estimators for the distribution function of a finite population based on dual auxiliary variables. The new estimators can be used in situations where the researchers face some sort of complex data set. The mathematical equations for the bias and mean square error have been obtained for each proposed estimator. Besides, an empirical study simulation study has also been conducted to analyse the performance of estimators. It is found that the new suggested estimators of the distribution function of a finite population are more accurate than some of the existing estimators. |
format | Online Article Text |
id | pubmed-10450482 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | SAGE Publications |
record_format | MEDLINE/PubMed |
spelling | pubmed-104504822023-08-26 Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling Hussain, Sardar Akhtar, Sohail El-Morshedy, Mahmoud Sci Prog Original Manuscript In survey sampling, information on auxiliary variables related to the main variable is often available in many practical problems. Since the mid-twentieth century, researchers have taken a keen interest in the use of auxiliary information due to its usefulness in estimation methods. The current study presents two new estimators for the distribution function of a finite population based on dual auxiliary variables. The new estimators can be used in situations where the researchers face some sort of complex data set. The mathematical equations for the bias and mean square error have been obtained for each proposed estimator. Besides, an empirical study simulation study has also been conducted to analyse the performance of estimators. It is found that the new suggested estimators of the distribution function of a finite population are more accurate than some of the existing estimators. SAGE Publications 2022-09-27 /pmc/articles/PMC10450482/ /pubmed/36168269 http://dx.doi.org/10.1177/00368504221128486 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by-nc/4.0/This article is distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 License (https://creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access page (https://us.sagepub.com/en-us/nam/open-access-at-sage). |
spellingShingle | Original Manuscript Hussain, Sardar Akhtar, Sohail El-Morshedy, Mahmoud Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
title | Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
title_full | Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
title_fullStr | Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
title_full_unstemmed | Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
title_short | Modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
title_sort | modified estimators of finite population distribution function based on dual use of auxiliary information under stratified random sampling |
topic | Original Manuscript |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10450482/ https://www.ncbi.nlm.nih.gov/pubmed/36168269 http://dx.doi.org/10.1177/00368504221128486 |
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