An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling
Abstract In this article, we have suggested a new improved estimator for estimation of finite population variance under simple random sampling. We use two auxiliary variables to improve the efficiency of estimator. The numerical expressions for the bias and mean square error are derived up to the fi...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-12-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-44169-5 |
| _version_ | 1797219801767084032 |
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| author | Sohaib Ahmad Nitesh Kumar Adichwal Muhammad Aamir Javid Shabbir Najwan Alsadat Mohammed Elgarhy Hijaz Ahmad |
| author_facet | Sohaib Ahmad Nitesh Kumar Adichwal Muhammad Aamir Javid Shabbir Najwan Alsadat Mohammed Elgarhy Hijaz Ahmad |
| author_sort | Sohaib Ahmad |
| collection | DOAJ |
| description | Abstract In this article, we have suggested a new improved estimator for estimation of finite population variance under simple random sampling. We use two auxiliary variables to improve the efficiency of estimator. The numerical expressions for the bias and mean square error are derived up to the first order approximation. To evaluate the efficiency of the new estimator, we conduct a numerical study using four real data sets and a simulation study. The result shows that the suggested estimator has a minimum mean square error and higher percentage relative efficiency as compared to all the existing estimators. These findings demonstrate the significance of our suggested estimator and highlight its potential applications in various fields. Theoretical and numerical analyses show that our suggested estimator outperforms all existing estimators in terms of efficiency. This demonstrates the practical value of incorporating auxiliary variables into the estimation process and the potential for future research in this area. |
| first_indexed | 2024-03-09T01:19:32Z |
| format | Article |
| id | doaj.art-6ea3e510820641448a346370c1266069 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-24T12:39:25Z |
| publishDate | 2023-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-6ea3e510820641448a346370c12660692024-04-07T11:19:42ZengNature PortfolioScientific Reports2045-23222023-12-0113111110.1038/s41598-023-44169-5An enhanced estimator of finite population variance using two auxiliary variables under simple random samplingSohaib Ahmad0Nitesh Kumar Adichwal1Muhammad Aamir2Javid Shabbir3Najwan Alsadat4Mohammed Elgarhy5Hijaz Ahmad6Department of Statistics, Abdul Wali Khan University MardanSchool of Business, University of Petroleum and Energy StudiesDepartment of Statistics, Abdul Wali Khan University MardanDepartment of Statistics, University of Wah at Wah CantDepartment of Quantitative Analysis, College of Business Administration, King Saud UniversityMathematics and Computer Science Department, Faculty of Science, Beni-Suef UniversitySection of Mathematics, International Telematic University UninettunoAbstract In this article, we have suggested a new improved estimator for estimation of finite population variance under simple random sampling. We use two auxiliary variables to improve the efficiency of estimator. The numerical expressions for the bias and mean square error are derived up to the first order approximation. To evaluate the efficiency of the new estimator, we conduct a numerical study using four real data sets and a simulation study. The result shows that the suggested estimator has a minimum mean square error and higher percentage relative efficiency as compared to all the existing estimators. These findings demonstrate the significance of our suggested estimator and highlight its potential applications in various fields. Theoretical and numerical analyses show that our suggested estimator outperforms all existing estimators in terms of efficiency. This demonstrates the practical value of incorporating auxiliary variables into the estimation process and the potential for future research in this area.https://doi.org/10.1038/s41598-023-44169-5 |
| spellingShingle | Sohaib Ahmad Nitesh Kumar Adichwal Muhammad Aamir Javid Shabbir Najwan Alsadat Mohammed Elgarhy Hijaz Ahmad An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling Scientific Reports |
| title | An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling |
| title_full | An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling |
| title_fullStr | An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling |
| title_full_unstemmed | An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling |
| title_short | An enhanced estimator of finite population variance using two auxiliary variables under simple random sampling |
| title_sort | enhanced estimator of finite population variance using two auxiliary variables under simple random sampling |
| url | https://doi.org/10.1038/s41598-023-44169-5 |
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