| GENERAL MINIMAX ESTIMATORS ON THE LOCATION MATRIX OF A MIXTURE OF NORMALS |
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| 作者姓名： | 谢民育 谢丹霞 |
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| 作者单位： | [1]DepartmentofStatistics,CentralChinaNormalUniversity,Wuhan430079,China [2]DepartmentofSportManagement,ShanghaiInstituteofPhysicalEducation,Shanghai200438,China |
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| 摘 要： | This paper considers the estimate problem on the mean matrix of mixtureof normals. In order to evaluate estimators of the mean matrix, a fundamental frameof Ф-(general) decision problem is established. Under the frame, a class of Ф-minimax estimators are constructed.
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| 关 键 词： | 广义极小极大估计量 平均矩阵 参数矩阵 一般决策理论 |
| 收稿时间： | 8 March 2002 |
GENERAL MINIMAX ESTIMATORS ON THE LOCATION MATRIX OF A MIXTURE OF NORMALS |
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| Xie Minyu.GENERAL MINIMAX ESTIMATORS ON THE LOCATION MATRIX OF A MIXTURE OF NORMALS[J].Acta Mathematica Scientia,2004,24(2):275-280. |
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| Authors: | Xie Minyu |
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| Institution: | Xie Minyu Department of Statistics,Central China Normal University,Wuhan 430079,China Xie Danxia Department of Sport Management,Shanghai Institute of Physical Education,Shanghai 200438,China |
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| Abstract: | This paper considers the estimate problem on the mean matrix of mixture of normals. In order to evaluate estimators of the mean matrix, a fundamental frame of Ф-(general) decision problem is established. Under the frame, a class of Ф-minimax estimators are constructed. |
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| Keywords: | General decision theory general minimax estimators parametric matrix |
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