Restructured searls family of estimators of population mean in the presence of nonresponse
Nonresponse is a major problem encountered by surveyors when conducting sampling surveys. The present study suggested a naïve modified Searls method for the elevated estimation of the population mean of the primary variable under investigation by utilizing the known auxiliary parameters. The bias al...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-10-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2022.969068/full |
| _version_ | 1811182430810275840 |
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| author | Abdullah Ali H. Ahmadini Taruna Yadav S. K. Yadav Asamh Saleh M. Al Luhayb |
| author_facet | Abdullah Ali H. Ahmadini Taruna Yadav S. K. Yadav Asamh Saleh M. Al Luhayb |
| author_sort | Abdullah Ali H. Ahmadini |
| collection | DOAJ |
| description | Nonresponse is a major problem encountered by surveyors when conducting sampling surveys. The present study suggested a naïve modified Searls method for the elevated estimation of the population mean of the primary variable under investigation by utilizing the known auxiliary parameters. The bias along with the mean squared error (MSE) of the introduced estimator is calculated up to the approximation of the first order. We compared the presented estimator with a competing usual unbiased estimator and other competing population mean estimators regarding the issue of nonresponse. The efficiency criteria of the introduced estimator outperforming the other estimators in the competition are determined and verified using five real data sets. The MSEs for the introduced estimator and the other estimators in the competition are calculated for the five considered populations. The estimator with the least MSE or highest percentage relative efficiency (PRE) is recommended for practical exercise in different areas of applications. |
| first_indexed | 2024-04-11T09:31:16Z |
| format | Article |
| id | doaj.art-6abc6dc2fe8348a893d68cad079828a7 |
| institution | Directory Open Access Journal |
| issn | 2297-4687 |
| language | English |
| last_indexed | 2024-04-11T09:31:16Z |
| publishDate | 2022-10-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj.art-6abc6dc2fe8348a893d68cad079828a72022-12-22T04:31:52ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872022-10-01810.3389/fams.2022.969068969068Restructured searls family of estimators of population mean in the presence of nonresponseAbdullah Ali H. Ahmadini0Taruna Yadav1S. K. Yadav2Asamh Saleh M. Al Luhayb3Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaDepartment of Rural Management, Babasaheb Bhimrao Ambedkar University, Lucknow, IndiaDepartment of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, IndiaDepartment of Mathematics, Faculty of Science, Qassim University, Buraydah, Saudi ArabiaNonresponse is a major problem encountered by surveyors when conducting sampling surveys. The present study suggested a naïve modified Searls method for the elevated estimation of the population mean of the primary variable under investigation by utilizing the known auxiliary parameters. The bias along with the mean squared error (MSE) of the introduced estimator is calculated up to the approximation of the first order. We compared the presented estimator with a competing usual unbiased estimator and other competing population mean estimators regarding the issue of nonresponse. The efficiency criteria of the introduced estimator outperforming the other estimators in the competition are determined and verified using five real data sets. The MSEs for the introduced estimator and the other estimators in the competition are calculated for the five considered populations. The estimator with the least MSE or highest percentage relative efficiency (PRE) is recommended for practical exercise in different areas of applications.https://www.frontiersin.org/articles/10.3389/fams.2022.969068/fullprimary variableauxiliary variablenon-responsebiasMSEPRE |
| spellingShingle | Abdullah Ali H. Ahmadini Taruna Yadav S. K. Yadav Asamh Saleh M. Al Luhayb Restructured searls family of estimators of population mean in the presence of nonresponse Frontiers in Applied Mathematics and Statistics primary variable auxiliary variable non-response bias MSE PRE |
| title | Restructured searls family of estimators of population mean in the presence of nonresponse |
| title_full | Restructured searls family of estimators of population mean in the presence of nonresponse |
| title_fullStr | Restructured searls family of estimators of population mean in the presence of nonresponse |
| title_full_unstemmed | Restructured searls family of estimators of population mean in the presence of nonresponse |
| title_short | Restructured searls family of estimators of population mean in the presence of nonresponse |
| title_sort | restructured searls family of estimators of population mean in the presence of nonresponse |
| topic | primary variable auxiliary variable non-response bias MSE PRE |
| url | https://www.frontiersin.org/articles/10.3389/fams.2022.969068/full |
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