| 约束增长曲线模型的Minimax可容许估计 |
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| 引用本文： | 王鸿刚,叶晓枫,王石青.约束增长曲线模型的Minimax可容许估计[J].河南师范大学学报(自然科学版),2006,34(3):18-20. |
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| 作者姓名： | 王鸿刚 叶晓枫 王石青 |
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| 作者单位： | 华北水利水电学院,数学与信息科学学院,郑州,450011 |
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| 摘 要： | 讨论在矩阵损失函数下约束增长曲线模型中回归系数的Minimax可容许估计问题,给出在某些线性估计类中Minimax可容许估计的充要条件.
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| 关 键 词： | 增长曲线模型 矩阵损失 Minimax可容许估计 |
| 文章编号： | 1000-2367(2006)03-0018-03 |
| 收稿时间： | 2006-03-17 |
| 修稿时间： | 2006年3月17日 |
The Minimax Admissible Estimates of the Growth Curve Model under a Constraint Condition |
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| WANG Hong-gang,YE Xiao-feng,WANG Shi-qing.The Minimax Admissible Estimates of the Growth Curve Model under a Constraint Condition[J].Journal of Henan Normal University(Natural Science),2006,34(3):18-20. |
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| Authors: | WANG Hong-gang YE Xiao-feng WANG Shi-qing |
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| Institution: | College of Mathematics and Information Sciences,North China University of Water Conservancy and Electric Power,Zhengzhou 450011,China |
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| Abstract: | In this paper, we consider the Minimax admissible estimates of the multivariate regression coefficient in the constraint growth curve model under a matrix loss function. We give the necessary and sufficient conditions for a linear Minimax admissible estimates of MYN to be Minimax admissible in the class of some homogeneous linear estimates. |
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| Keywords: | growth curve model matrix loss function Minimax admissible estimates |
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