节点文献
方差分量模型中回归系数的线性Minimax估计
The Linear Minimax Estimators of Regression Coefficient in the Variance Component Model
【摘要】 定义了三种不同的Minimax估计.在矩阵损失下得到了方差分量模型的回归系数(分别是在齐次线性估计类和非齐次线性估计类中)的线性Minimax估计.结果表明,Minimax估计是压缩型估计.
【Abstract】 Three different linear minimax estimator were defined.Under matrix loss function,the correspondent linear minimax estimators of variance component model of coefficient are obtained in the class of homogeneous linear estimators and in the class of nonhomogenous linear estimators respectively .The results indicate that the linear minimax estimators are shrinked estimators.
【关键词】 矩阵损失;
可估函数;
Minimax估计;
方差分量模型;
【Key words】 matrix loss; estimable function; minimax estimator; variance component model;
【Key words】 matrix loss; estimable function; minimax estimator; variance component model;
【基金】 国家自然科学基金资助项目(79170090)
- 【文献出处】 长沙理工大学学报(自然科学版) ,Journal of Hunan Light Industry College , 编辑部邮箱 ,2005年02期
- 【分类号】O212
- 【被引频次】1
- 【下载频次】42