Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.

Extensive research work has been done for the estimation of population mean using bivariate auxiliary information based on conventional measures. Conventional measures of the auxiliary variables provide suspicious results in the presence of outliers/extreme values. However, non-conventional measures...

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Main Authors: Maria Javed, Muhammad Irfan, Sandile C Shongwe, Muhammad Ali Hussain, Mutum Zico Meetei
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0313712
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author Maria Javed
Muhammad Irfan
Sandile C Shongwe
Muhammad Ali Hussain
Mutum Zico Meetei
author_facet Maria Javed
Muhammad Irfan
Sandile C Shongwe
Muhammad Ali Hussain
Mutum Zico Meetei
author_sort Maria Javed
collection DOAJ
description Extensive research work has been done for the estimation of population mean using bivariate auxiliary information based on conventional measures. Conventional measures of the auxiliary variables provide suspicious results in the presence of outliers/extreme values. However, non-conventional measures of the auxiliary variables include quartile deviation, mid-range, inter-quartile range, quartile average, tri-mean, Hodge-Lehmann estimator etc. give efficient results in case of extreme values. Unfortunately, non-conventional measures are not used by survey practitioners to enhance the estimation of unknown population parameters using bivariate auxiliary information. In this article, difference-cum-exponential-type estimators for population mean utilizing bivariate auxiliary information based on non-conventional measures under simple and stratified random sampling schemes have been suggested. Mathematical properties such as bias and mean squared error are derived. To support theoretical findings, various real-life applications are used to confirm the superiority of the suggested estimators as compared to the competing estimators under study.
format Article
id doaj-art-64dbcf31aac14017a07aaa06ceb3afb7
institution Kabale University
issn 1932-6203
language English
publishDate 2025-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj-art-64dbcf31aac14017a07aaa06ceb3afb72025-08-20T03:52:20ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01201e031371210.1371/journal.pone.0313712Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.Maria JavedMuhammad IrfanSandile C ShongweMuhammad Ali HussainMutum Zico MeeteiExtensive research work has been done for the estimation of population mean using bivariate auxiliary information based on conventional measures. Conventional measures of the auxiliary variables provide suspicious results in the presence of outliers/extreme values. However, non-conventional measures of the auxiliary variables include quartile deviation, mid-range, inter-quartile range, quartile average, tri-mean, Hodge-Lehmann estimator etc. give efficient results in case of extreme values. Unfortunately, non-conventional measures are not used by survey practitioners to enhance the estimation of unknown population parameters using bivariate auxiliary information. In this article, difference-cum-exponential-type estimators for population mean utilizing bivariate auxiliary information based on non-conventional measures under simple and stratified random sampling schemes have been suggested. Mathematical properties such as bias and mean squared error are derived. To support theoretical findings, various real-life applications are used to confirm the superiority of the suggested estimators as compared to the competing estimators under study.https://doi.org/10.1371/journal.pone.0313712
spellingShingle Maria Javed
Muhammad Irfan
Sandile C Shongwe
Muhammad Ali Hussain
Mutum Zico Meetei
Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.
PLoS ONE
title Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.
title_full Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.
title_fullStr Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.
title_full_unstemmed Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.
title_short Difference-Cum-Exponential-type estimators for estimation of finite population mean in survey sampling.
title_sort difference cum exponential type estimators for estimation of finite population mean in survey sampling
url https://doi.org/10.1371/journal.pone.0313712
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AT sandilecshongwe differencecumexponentialtypeestimatorsforestimationoffinitepopulationmeaninsurveysampling
AT muhammadalihussain differencecumexponentialtypeestimatorsforestimationoffinitepopulationmeaninsurveysampling
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