Enhanced estimation of population mean using simple random sampling
The present study suggests an enhanced class of estimators for the population mean estimation utilizing simple random sampling (SRS). The bias, mean square errors (MSE), and minimum MSE of the suggested estimators are computed to the approximation of order one. The efficiency conditions are obtained...
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2024-12-01
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| Series: | Research in Statistics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27684520.2024.2335949 |
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| author | Anoop Kumar Asra Sayyed Siddiqui |
| author_facet | Anoop Kumar Asra Sayyed Siddiqui |
| author_sort | Anoop Kumar |
| collection | DOAJ |
| description | The present study suggests an enhanced class of estimators for the population mean estimation utilizing simple random sampling (SRS). The bias, mean square errors (MSE), and minimum MSE of the suggested estimators are computed to the approximation of order one. The efficiency conditions are obtained by comparing the MSE of the proposed and existing estimators. An empirical investigation is carried out using some real and artificially generated symmetric and asymmetric populations. The empirical findings are observed to be positive, clearly demonstrating the preponderance of the suggested estimators over the existing estimators. |
| format | Article |
| id | doaj-art-d369942345f44bc2987ca5f3d21388d9 |
| institution | DOAJ |
| issn | 2768-4520 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis |
| record_format | Article |
| series | Research in Statistics |
| spelling | doaj-art-d369942345f44bc2987ca5f3d21388d92025-08-20T02:50:56ZengTaylor & FrancisResearch in Statistics2768-45202024-12-012110.1080/27684520.2024.2335949Enhanced estimation of population mean using simple random samplingAnoop Kumar0Asra Sayyed Siddiqui1Department of Statistics, Amity School of Applied Sciences, Amity University Uttar Pradesh, Lucknow, IndiaDepartment of Statistics, Amity School of Applied Sciences, Amity University Uttar Pradesh, Lucknow, IndiaThe present study suggests an enhanced class of estimators for the population mean estimation utilizing simple random sampling (SRS). The bias, mean square errors (MSE), and minimum MSE of the suggested estimators are computed to the approximation of order one. The efficiency conditions are obtained by comparing the MSE of the proposed and existing estimators. An empirical investigation is carried out using some real and artificially generated symmetric and asymmetric populations. The empirical findings are observed to be positive, clearly demonstrating the preponderance of the suggested estimators over the existing estimators.https://www.tandfonline.com/doi/10.1080/27684520.2024.2335949Mean square errorefficiencyenhanced estimationnumerical studysimulation study |
| spellingShingle | Anoop Kumar Asra Sayyed Siddiqui Enhanced estimation of population mean using simple random sampling Research in Statistics Mean square error efficiency enhanced estimation numerical study simulation study |
| title | Enhanced estimation of population mean using simple random sampling |
| title_full | Enhanced estimation of population mean using simple random sampling |
| title_fullStr | Enhanced estimation of population mean using simple random sampling |
| title_full_unstemmed | Enhanced estimation of population mean using simple random sampling |
| title_short | Enhanced estimation of population mean using simple random sampling |
| title_sort | enhanced estimation of population mean using simple random sampling |
| topic | Mean square error efficiency enhanced estimation numerical study simulation study |
| url | https://www.tandfonline.com/doi/10.1080/27684520.2024.2335949 |
| work_keys_str_mv | AT anoopkumar enhancedestimationofpopulationmeanusingsimplerandomsampling AT asrasayyedsiddiqui enhancedestimationofpopulationmeanusingsimplerandomsampling |