| 矩阵损失下线性估计可容许性的注记 |
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| 引用本文： | 何道江.矩阵损失下线性估计可容许性的注记[J].吉林大学学报(理学版),2009,47(6):1199-1201. |
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| 作者姓名： | 何道江 |
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| 作者单位： | 安徽师范大学 数学系, 安徽 芜湖 241000 |
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| 基金项目： | 国家数学天元青年基金，安徽省高校自然科学重点项目基金 |
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| 摘 要： | 研究矩阵损失下线性模型中线性估计的可容许性, 利用矩阵论的相关知识给出了齐次线性估计类和非齐次线性估计类中可容许估计的新刻画, 并举例说明所给条件更易于应用.
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| 关 键 词： | 线性估计 矩阵损失 可容许性 注记 |
| 收稿时间： | 2009-03-17 |
Notes on Admissibility of Linear Estimators under Matrix Loss Function |
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| HE Dao-jiang.Notes on Admissibility of Linear Estimators under Matrix Loss Function[J].Journal of Jilin University: Sci Ed,2009,47(6):1199-1201. |
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| Authors: | HE Dao-jiang |
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| Institution: | Department of Mathematics, Anhui Normal University, Wuhu 241000| Anhui Province, China |
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| Abstract: | We investigated the admissibility of linear estimators in a linear model under matrix loss function. Based on the thoery of matrix, some new necessary and sufficient conditions for a linear estimator to be admissible in the class of linear estimators were obtained. The new conditions are demonstrated to be much easier to verify and to apply via an example. |
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| Keywords: | linear estimator matrix loss function admissibility notes |
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