A Study on the Chain Ratio-Type Estimator of Finite Population Variance
We suggest an estimator using two auxiliary variables for the estimation of the unknown population variance. The bias and the mean square error of the proposed estimator are obtained to the first order of approximations. In addition, the problem is extended to two-phase sampling scheme. After theore...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2014/723982 |
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| _version_ | 1832562806553051136 |
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| author | Yunusa Olufadi Cem Kadilar |
| author_facet | Yunusa Olufadi Cem Kadilar |
| author_sort | Yunusa Olufadi |
| collection | DOAJ |
| description | We suggest an estimator using two auxiliary variables for the estimation of the unknown population variance. The bias and the mean square error of the proposed estimator are obtained to the first order of approximations. In addition, the problem is extended to two-phase sampling scheme. After theoretical comparisons, as an illustration, a numerical comparison is carried out to examine the performance of the suggested estimator with several estimators. |
| format | Article |
| id | doaj-art-52a7de4a52114503a8906eaa699cccdb |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-52a7de4a52114503a8906eaa699cccdb2025-02-03T01:21:44ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/723982723982A Study on the Chain Ratio-Type Estimator of Finite Population VarianceYunusa Olufadi0Cem Kadilar1Department of Statistics and Mathematical Sciences, Kwara State University, PMB 1530, Malete, Ilorin, NigeriaDepartment of Statistics, Hacettepe University, Beytepe, 06800 Ankara, TurkeyWe suggest an estimator using two auxiliary variables for the estimation of the unknown population variance. The bias and the mean square error of the proposed estimator are obtained to the first order of approximations. In addition, the problem is extended to two-phase sampling scheme. After theoretical comparisons, as an illustration, a numerical comparison is carried out to examine the performance of the suggested estimator with several estimators.http://dx.doi.org/10.1155/2014/723982 |
| spellingShingle | Yunusa Olufadi Cem Kadilar A Study on the Chain Ratio-Type Estimator of Finite Population Variance Journal of Probability and Statistics |
| title | A Study on the Chain Ratio-Type Estimator of Finite Population Variance |
| title_full | A Study on the Chain Ratio-Type Estimator of Finite Population Variance |
| title_fullStr | A Study on the Chain Ratio-Type Estimator of Finite Population Variance |
| title_full_unstemmed | A Study on the Chain Ratio-Type Estimator of Finite Population Variance |
| title_short | A Study on the Chain Ratio-Type Estimator of Finite Population Variance |
| title_sort | study on the chain ratio type estimator of finite population variance |
| url | http://dx.doi.org/10.1155/2014/723982 |
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