A generalized class of estimators for sensitive variable in the presence of measurement error and non-response

In this paper, a general class of estimators is proposed for estimating the finite population mean for sensitive variable, in the presence of measurement error and non-response in simple random sampling. Expressions for bias and mean square error up to first order of approximation, are derived. Impa...

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Detalles Bibliográficos
Autores principales: Zahid, Erum, Shabbir, Javid, Gupta, Sat, Onyango, Ronald, Saeed, Sadia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8769360/
https://www.ncbi.nlm.nih.gov/pubmed/35045076
http://dx.doi.org/10.1371/journal.pone.0261561
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author Zahid, Erum
Shabbir, Javid
Gupta, Sat
Onyango, Ronald
Saeed, Sadia
author_facet Zahid, Erum
Shabbir, Javid
Gupta, Sat
Onyango, Ronald
Saeed, Sadia
author_sort Zahid, Erum
collection PubMed
description In this paper, a general class of estimators is proposed for estimating the finite population mean for sensitive variable, in the presence of measurement error and non-response in simple random sampling. Expressions for bias and mean square error up to first order of approximation, are derived. Impact of measurement errors is examined using real data sets, including the survey conducted at Quaid-i-Azam University, Islamabad. Simulated data sets are also used to observe the performance of the proposed estimators in comparison to some other estimators. We obtain the empirical bias and MSE values for the proposed and the competing estimators.
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spelling pubmed-87693602022-01-20 A generalized class of estimators for sensitive variable in the presence of measurement error and non-response Zahid, Erum Shabbir, Javid Gupta, Sat Onyango, Ronald Saeed, Sadia PLoS One Research Article In this paper, a general class of estimators is proposed for estimating the finite population mean for sensitive variable, in the presence of measurement error and non-response in simple random sampling. Expressions for bias and mean square error up to first order of approximation, are derived. Impact of measurement errors is examined using real data sets, including the survey conducted at Quaid-i-Azam University, Islamabad. Simulated data sets are also used to observe the performance of the proposed estimators in comparison to some other estimators. We obtain the empirical bias and MSE values for the proposed and the competing estimators. Public Library of Science 2022-01-19 /pmc/articles/PMC8769360/ /pubmed/35045076 http://dx.doi.org/10.1371/journal.pone.0261561 Text en © 2022 Zahid 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
Zahid, Erum
Shabbir, Javid
Gupta, Sat
Onyango, Ronald
Saeed, Sadia
A generalized class of estimators for sensitive variable in the presence of measurement error and non-response
title A generalized class of estimators for sensitive variable in the presence of measurement error and non-response
title_full A generalized class of estimators for sensitive variable in the presence of measurement error and non-response
title_fullStr A generalized class of estimators for sensitive variable in the presence of measurement error and non-response
title_full_unstemmed A generalized class of estimators for sensitive variable in the presence of measurement error and non-response
title_short A generalized class of estimators for sensitive variable in the presence of measurement error and non-response
title_sort generalized class of estimators for sensitive variable in the presence of measurement error and non-response
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8769360/
https://www.ncbi.nlm.nih.gov/pubmed/35045076
http://dx.doi.org/10.1371/journal.pone.0261561
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