Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values
Efficient estimation of finite population mean is carried out by using the auxiliary information meaningfully. In this paper we have suggested some modified ratio, product, and regression type estimators when using minimum and maximum values. Expressions for biases and mean squared errors of the sug...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/431868 |
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| _version_ | 1832556243668959232 |
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| author | Manzoor Khan Javid Shabbir |
| author_facet | Manzoor Khan Javid Shabbir |
| author_sort | Manzoor Khan |
| collection | DOAJ |
| description | Efficient estimation of finite population mean is carried out by using the auxiliary information meaningfully. In this paper we have suggested some modified ratio, product, and regression type estimators when using minimum and maximum values. Expressions for biases and mean squared errors of the suggested estimators have been derived up to the first order of approximation. The performances of the suggested estimators, relative to their usual counterparts, have been studied, and improved performance has been established. The improvement in efficiency by making use of maximum and minimum values has been verified numerically. |
| format | Article |
| id | doaj-art-20b40ed7072c4261895ae381c8162b2c |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-20b40ed7072c4261895ae381c8162b2c2025-02-03T05:45:56ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/431868431868Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum ValuesManzoor Khan0Javid Shabbir1Department of Statistics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Statistics, Quaid-i-Azam University, Islamabad 45320, PakistanEfficient estimation of finite population mean is carried out by using the auxiliary information meaningfully. In this paper we have suggested some modified ratio, product, and regression type estimators when using minimum and maximum values. Expressions for biases and mean squared errors of the suggested estimators have been derived up to the first order of approximation. The performances of the suggested estimators, relative to their usual counterparts, have been studied, and improved performance has been established. The improvement in efficiency by making use of maximum and minimum values has been verified numerically.http://dx.doi.org/10.1155/2013/431868 |
| spellingShingle | Manzoor Khan Javid Shabbir Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values The Scientific World Journal |
| title | Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values |
| title_full | Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values |
| title_fullStr | Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values |
| title_full_unstemmed | Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values |
| title_short | Some Improved Ratio, Product, and Regression Estimators of Finite Population Mean When Using Minimum and Maximum Values |
| title_sort | some improved ratio product and regression estimators of finite population mean when using minimum and maximum values |
| url | http://dx.doi.org/10.1155/2013/431868 |
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