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A generalized exponential-type estimator for population mean using auxiliary attributes

In this paper, we propose a generalized class of exponential type estimators for estimating the finite population mean using two auxiliary attributes under simple random sampling and stratified random sampling. The bias and mean squared error (MSE) of the proposed class of estimators are derived up...

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Detalles Bibliográficos
Autores principales: Ahmad, Sohail, Arslan, Muhammad, Khan, Aamna, Shabbir, Javid
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8118354/
https://www.ncbi.nlm.nih.gov/pubmed/33983938
http://dx.doi.org/10.1371/journal.pone.0246947
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author Ahmad, Sohail
Arslan, Muhammad
Khan, Aamna
Shabbir, Javid
author_facet Ahmad, Sohail
Arslan, Muhammad
Khan, Aamna
Shabbir, Javid
author_sort Ahmad, Sohail
collection PubMed
description In this paper, we propose a generalized class of exponential type estimators for estimating the finite population mean using two auxiliary attributes under simple random sampling and stratified random sampling. The bias and mean squared error (MSE) of the proposed class of estimators are derived up to first order of approximation. Both empirical study and theoretical comparisons are discussed. Four populations are used to support the theoretical findings. It is observed that the proposed class of estimators perform better as compared to all other considered estimator in simple and stratified random sampling.
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spelling pubmed-81183542021-05-24 A generalized exponential-type estimator for population mean using auxiliary attributes Ahmad, Sohail Arslan, Muhammad Khan, Aamna Shabbir, Javid PLoS One Research Article In this paper, we propose a generalized class of exponential type estimators for estimating the finite population mean using two auxiliary attributes under simple random sampling and stratified random sampling. The bias and mean squared error (MSE) of the proposed class of estimators are derived up to first order of approximation. Both empirical study and theoretical comparisons are discussed. Four populations are used to support the theoretical findings. It is observed that the proposed class of estimators perform better as compared to all other considered estimator in simple and stratified random sampling. Public Library of Science 2021-05-13 /pmc/articles/PMC8118354/ /pubmed/33983938 http://dx.doi.org/10.1371/journal.pone.0246947 Text en © 2021 Ahmad et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Ahmad, Sohail
Arslan, Muhammad
Khan, Aamna
Shabbir, Javid
A generalized exponential-type estimator for population mean using auxiliary attributes
title A generalized exponential-type estimator for population mean using auxiliary attributes
title_full A generalized exponential-type estimator for population mean using auxiliary attributes
title_fullStr A generalized exponential-type estimator for population mean using auxiliary attributes
title_full_unstemmed A generalized exponential-type estimator for population mean using auxiliary attributes
title_short A generalized exponential-type estimator for population mean using auxiliary attributes
title_sort generalized exponential-type estimator for population mean using auxiliary attributes
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8118354/
https://www.ncbi.nlm.nih.gov/pubmed/33983938
http://dx.doi.org/10.1371/journal.pone.0246947
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