Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation
This paper is to find the estimators of the mean θ for a normal distribution with mean θ and variance aθ2, a>0, θ>0. These estimators are proposed when the coefficient of variation is known. A mean square error (MSE) is a criterion to evaluate the estimators. The results show that the proposed...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2012/807045 |
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| author | Wuttichai Srisodaphol Noppakun Tongmol |
| author_facet | Wuttichai Srisodaphol Noppakun Tongmol |
| author_sort | Wuttichai Srisodaphol |
| collection | DOAJ |
| description | This paper is to find the estimators of the mean θ for a normal distribution with mean θ and variance aθ2, a>0, θ>0. These estimators are proposed when the coefficient of variation is known. A mean square error (MSE) is a criterion to evaluate the estimators. The results show that the proposed estimators have preference for asymptotic comparisons. Moreover, the estimator based on jackknife technique has preference over others proposed estimators with some simulations studies. |
| format | Article |
| id | doaj-art-327130e566f74f028bc0b2f286097ca9 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-327130e566f74f028bc0b2f286097ca92025-02-03T07:25:15ZengWileyJournal of Probability and Statistics1687-952X1687-95382012-01-01201210.1155/2012/807045807045Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of VariationWuttichai Srisodaphol0Noppakun Tongmol1Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandThis paper is to find the estimators of the mean θ for a normal distribution with mean θ and variance aθ2, a>0, θ>0. These estimators are proposed when the coefficient of variation is known. A mean square error (MSE) is a criterion to evaluate the estimators. The results show that the proposed estimators have preference for asymptotic comparisons. Moreover, the estimator based on jackknife technique has preference over others proposed estimators with some simulations studies.http://dx.doi.org/10.1155/2012/807045 |
| spellingShingle | Wuttichai Srisodaphol Noppakun Tongmol Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation Journal of Probability and Statistics |
| title | Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation |
| title_full | Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation |
| title_fullStr | Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation |
| title_full_unstemmed | Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation |
| title_short | Improved Estimators of the Mean of a Normal Distribution with a Known Coefficient of Variation |
| title_sort | improved estimators of the mean of a normal distribution with a known coefficient of variation |
| url | http://dx.doi.org/10.1155/2012/807045 |
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