Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications
In this article, we offer simple random sampling (SRS) based efficient class of estimators of population mean Y¯ utilizing additional information. The expression of the mean square error of the proposed class of estimators is deduced up to first degree approximation. The efficiency conditions are es...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824001339 |
| _version_ | 1797311558204784640 |
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| author | Anoop Kumar Asra Sayeed Siddiqui Manahil SidAhmed Mustafa Eslam Hussam Hassan M. Aljohani Fatimah A. Almulhim |
| author_facet | Anoop Kumar Asra Sayeed Siddiqui Manahil SidAhmed Mustafa Eslam Hussam Hassan M. Aljohani Fatimah A. Almulhim |
| author_sort | Anoop Kumar |
| collection | DOAJ |
| description | In this article, we offer simple random sampling (SRS) based efficient class of estimators of population mean Y¯ utilizing additional information. The expression of the mean square error of the proposed class of estimators is deduced up to first degree approximation. The efficiency conditions are established which are enhanced numerically utilizing a simulation study consummated over symmetrical and asymmetrical populations. Real data sets are also utilized to exemplify the suggested estimators. The numerical findings are appeared rather acceptable demonstrating better advancement over the ordinary estimators. |
| first_indexed | 2024-03-08T02:02:26Z |
| format | Article |
| id | doaj.art-156bf67897934facbcfb4a26b26397b6 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-08T02:02:26Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-156bf67897934facbcfb4a26b26397b62024-02-14T05:14:06ZengElsevierAlexandria Engineering Journal1110-01682024-03-0191197203Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applicationsAnoop Kumar0Asra Sayeed Siddiqui1Manahil SidAhmed Mustafa2Eslam Hussam3Hassan M. Aljohani4Fatimah A. Almulhim5Department of Statistics, Central University of Haryana, Mahendergarh, 123031, IndiaDepartment of Statistics, Amity School of Applied Sciences, Amity University Uttar Pradesh, Lucknow, 226028, India; Corresponding author.Department of Statistics, Faculty of Science, University of Tabuk, Tabuk, Saudi ArabiaHelwan University, Faculty of Science, Cairo, Egypt; Department of Accounting, College of Business Administration in Hawtat Bani Tamim, Prince Sattam bin Abdulaziz University, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaIn this article, we offer simple random sampling (SRS) based efficient class of estimators of population mean Y¯ utilizing additional information. The expression of the mean square error of the proposed class of estimators is deduced up to first degree approximation. The efficiency conditions are established which are enhanced numerically utilizing a simulation study consummated over symmetrical and asymmetrical populations. Real data sets are also utilized to exemplify the suggested estimators. The numerical findings are appeared rather acceptable demonstrating better advancement over the ordinary estimators.http://www.sciencedirect.com/science/article/pii/S1110016824001339EfficiencySimple random samplingPopulation meanMean square error |
| spellingShingle | Anoop Kumar Asra Sayeed Siddiqui Manahil SidAhmed Mustafa Eslam Hussam Hassan M. Aljohani Fatimah A. Almulhim Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications Alexandria Engineering Journal Efficiency Simple random sampling Population mean Mean square error |
| title | Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications |
| title_full | Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications |
| title_fullStr | Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications |
| title_full_unstemmed | Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications |
| title_short | Mean estimation using an efficient class of estimators based on simple random sampling: Simulation and applications |
| title_sort | mean estimation using an efficient class of estimators based on simple random sampling simulation and applications |
| topic | Efficiency Simple random sampling Population mean Mean square error |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824001339 |
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