| Admissibility of Linear Estimators in the Growth Curve Model with Respect to Inequalitv Restriction |
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| 引用本文： | 方龙祥 郭大伟. Admissibility of Linear Estimators in the Growth Curve Model with Respect to Inequalitv Restriction[J]. 东北数学, 2007, 23(6): 513-522 |
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| 作者姓名： | 方龙祥 郭大伟 |
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| 作者单位： | College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000 |
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| 基金项目： | Foundation item： The NNSF （KJ2007A012） of Anhui Province, China. |
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| 摘 要： | For the growth curve model with respect to inequality restriction： Y = XBZ ＋ε,ε（0, σ2V I）, trNB ≥0, this paper gives some necessary and sufficient conditions for the linear estimator of KBL to be admissible in the class of homogeneous linear estimators LH and nonhomogeneous linear estimators LI, respectively, under the quadratic loss function tr（d（Y） - KBL）＇（d（Y） - KBL）.
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| 关 键 词： | 不等式约束 生长曲线模型 中线性估计 容许性 |
| 文章编号： | 1000-1778（2007）06-0513-10 |
| 收稿时间： | 2006-11-08 |
| 修稿时间： | 2006-11-08 |
Admissibility of Linear Estimators in the Growth Curve Model with Respect to Inequalitv Restriction |
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| FANG Long-xiang, GUO Da-wei. Admissibility of Linear Estimators in the Growth Curve Model with Respect to Inequalitv Restriction[J]. Northeastern Mathematical Journal, 2007, 23(6): 513-522 |
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| Authors: | FANG Long-xiang GUO Da-wei |
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| Affiliation: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000 |
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| Abstract: | |
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| Keywords: | inequality restriction admissibility growth curve model linear estimator |
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