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

In survey sampling an investigator may be unable to get the complete and correct information at the same time. So non-response and measurement error occur simultaneously and consequently may effect the estimator. Considering this problem, a generalized class of estimators is proposed for estimating...

Full description

Bibliographic Details
Main Authors: Erum Zahid, Javid Shabbir, Osama Abdulaziz Alamri
Format: Article
Language:English
Published: Elsevier 2022-02-01
Series:Journal of King Saud University: Science
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364721004031
_version_ 1798025196340248576
author Erum Zahid
Javid Shabbir
Osama Abdulaziz Alamri
author_facet Erum Zahid
Javid Shabbir
Osama Abdulaziz Alamri
author_sort Erum Zahid
collection DOAJ
description In survey sampling an investigator may be unable to get the complete and correct information at the same time. So non-response and measurement error occur simultaneously and consequently may effect the estimator. Considering this problem, a generalized class of estimators is proposed for estimating the finite population mean for sensitive variable in the presence of measurement error and non-response under stratified random sampling. We conducted a study based on real data set at Quaid-i-Azam University, Islamabad. Simulation and real life data sets are used to observe the performances of the estimators. Bias and MSE values are given for the comparison of estimators.
first_indexed 2024-04-11T18:14:50Z
format Article
id doaj.art-077150242c3e44a5b28eb2545f568f2e
institution Directory Open Access Journal
issn 1018-3647
language English
last_indexed 2024-04-11T18:14:50Z
publishDate 2022-02-01
publisher Elsevier
record_format Article
series Journal of King Saud University: Science
spelling doaj.art-077150242c3e44a5b28eb2545f568f2e2022-12-22T04:09:57ZengElsevierJournal of King Saud University: Science1018-36472022-02-01342101741A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random samplingErum Zahid0Javid Shabbir1Osama Abdulaziz Alamri2Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan; Corresponding author.Department of Statistics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Statistics, University of Tabuk, Saudi ArabiaIn survey sampling an investigator may be unable to get the complete and correct information at the same time. So non-response and measurement error occur simultaneously and consequently may effect the estimator. Considering this problem, a generalized class of estimators is proposed for estimating the finite population mean for sensitive variable in the presence of measurement error and non-response under stratified random sampling. We conducted a study based on real data set at Quaid-i-Azam University, Islamabad. Simulation and real life data sets are used to observe the performances of the estimators. Bias and MSE values are given for the comparison of estimators.http://www.sciencedirect.com/science/article/pii/S1018364721004031Auxiliary variableMeasurement errorNon-responseRandomized responseStratified random sampling
spellingShingle Erum Zahid
Javid Shabbir
Osama Abdulaziz Alamri
A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random sampling
Journal of King Saud University: Science
Auxiliary variable
Measurement error
Non-response
Randomized response
Stratified random sampling
title A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random sampling
title_full A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random sampling
title_fullStr A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random sampling
title_full_unstemmed A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random sampling
title_short A generalized class of estimators for sensitive variable in the presence of measurement error and non-response under stratified random sampling
title_sort generalized class of estimators for sensitive variable in the presence of measurement error and non response under stratified random sampling
topic Auxiliary variable
Measurement error
Non-response
Randomized response
Stratified random sampling
url http://www.sciencedirect.com/science/article/pii/S1018364721004031
work_keys_str_mv AT erumzahid ageneralizedclassofestimatorsforsensitivevariableinthepresenceofmeasurementerrorandnonresponseunderstratifiedrandomsampling
AT javidshabbir ageneralizedclassofestimatorsforsensitivevariableinthepresenceofmeasurementerrorandnonresponseunderstratifiedrandomsampling
AT osamaabdulazizalamri ageneralizedclassofestimatorsforsensitivevariableinthepresenceofmeasurementerrorandnonresponseunderstratifiedrandomsampling
AT erumzahid generalizedclassofestimatorsforsensitivevariableinthepresenceofmeasurementerrorandnonresponseunderstratifiedrandomsampling
AT javidshabbir generalizedclassofestimatorsforsensitivevariableinthepresenceofmeasurementerrorandnonresponseunderstratifiedrandomsampling
AT osamaabdulazizalamri generalizedclassofestimatorsforsensitivevariableinthepresenceofmeasurementerrorandnonresponseunderstratifiedrandomsampling