Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling
This article develops statistical inference about the population median under the stratified sampling method. An exponential class of ratio estimators of the median was suggested using the combination of scalars and known supplementary information on the population median. Mean square error and bias...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364722007170 |
| _version_ | 1797955424418267136 |
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| author | Mir Subzar Showkat Ahmad Lone Muhammad Aslam Ali Hussein AL-Marshadi S Maqbool |
| author_facet | Mir Subzar Showkat Ahmad Lone Muhammad Aslam Ali Hussein AL-Marshadi S Maqbool |
| author_sort | Mir Subzar |
| collection | DOAJ |
| description | This article develops statistical inference about the population median under the stratified sampling method. An exponential class of ratio estimators of the median was suggested using the combination of scalars and known supplementary information on the population median. Mean square error and bias expressions were derived theoretically and also the AOE (asymptotic optimum estimator) conditions were obtained with its mean square error and bias expressions. From both the empirical evidence and analytical approach evaluations of the AOE with other obtainable members of the suggested class of estimators show that the AOE performs better than its competitors in the literature and is also the alternative to the regression estimator of the median under a stratified random sampling scheme. |
| first_indexed | 2024-04-10T23:34:03Z |
| format | Article |
| id | doaj.art-85cd98064a24435695460d964b4a9ed7 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-04-10T23:34:03Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-85cd98064a24435695460d964b4a9ed72023-01-12T04:18:22ZengElsevierJournal of King Saud University: Science1018-36472023-04-01353102536Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified samplingMir Subzar0Showkat Ahmad Lone1Muhammad Aslam2Ali Hussein AL-Marshadi3S Maqbool4Department of Mathematics, (SSBSR), Sharda University, Greater Noida, UP 201306, India; Corresponding author.Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Jeddah Campus, Riyadh (11673), Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDivision of Agricultural Economics & Statistics, FoA, Wadura, SKUAST-Kashmir, IndiaThis article develops statistical inference about the population median under the stratified sampling method. An exponential class of ratio estimators of the median was suggested using the combination of scalars and known supplementary information on the population median. Mean square error and bias expressions were derived theoretically and also the AOE (asymptotic optimum estimator) conditions were obtained with its mean square error and bias expressions. From both the empirical evidence and analytical approach evaluations of the AOE with other obtainable members of the suggested class of estimators show that the AOE performs better than its competitors in the literature and is also the alternative to the regression estimator of the median under a stratified random sampling scheme.http://www.sciencedirect.com/science/article/pii/S101836472200717062D05 |
| spellingShingle | Mir Subzar Showkat Ahmad Lone Muhammad Aslam Ali Hussein AL-Marshadi S Maqbool Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling Journal of King Saud University: Science 62D05 |
| title | Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling |
| title_full | Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling |
| title_fullStr | Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling |
| title_full_unstemmed | Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling |
| title_short | Exponential ratio estimator of the median: An alternative to the regression estimator of the median under stratified sampling |
| title_sort | exponential ratio estimator of the median an alternative to the regression estimator of the median under stratified sampling |
| topic | 62D05 |
| url | http://www.sciencedirect.com/science/article/pii/S1018364722007170 |
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