| 多种标准下生长曲线模型回归系数可容许线性估计的等价性 |
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| 引用本文： | 张尚立.多种标准下生长曲线模型回归系数可容许线性估计的等价性[J].北京交通大学学报(自然科学版),1993(2). |
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| 作者姓名： | 张尚立 |
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| 作者单位： | 北方交通大学数学系 |
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| 摘 要： | 对于一般增长曲线模型,在损失函数(d (y)-KBL)＇(d (y)-KBL)下得出了回归系数的线性可估函数KBL的齐次线性估计DYF、在齐次线性估计类中是可容许估计的充分必要条件.同时,对于不同的矩阵大小比较标准分别讨论了它们各自的可容许性问题,得到了6种意义下可容许的等价定理。
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| 关 键 词： | 生长曲线 模型 线性估计 可容许性 |
Equivalent of Admissible Linear Estimate of Regression Coefficients in the General Growth Curve Model for Various Standards |
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| Zhang Shangli.Equivalent of Admissible Linear Estimate of Regression Coefficients in the General Growth Curve Model for Various Standards[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1993(2). |
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| Authors: | Zhang Shangli |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, the General Growth Curve Model are studied, If KBL is linear estimable, the neccessary and sufficient conditions for homogeneous linear estimate DYF to be admissible estimate under loss function (d(y) -KBL)'(d(y) - KBL) in homogeneous linear estimate class can be obtained. Meanwhile, the admissible questions for various martix comparison standards are discussed res- pectively, the equivalent admissible theorem under six different standards are obtained. |
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| Keywords: | growth curve model linear estimation admissbility |
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