广义压缩最小二乘估计
GENERALIZED SHRUNKEN LEAST SQUARES ESTIMATORS
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摘要: 本文引进了线性模型中回归系数的一个估计类。许多常用的估计,例如岭回归估计、主成分估计、压缩最小二乘估计以及迭代估计都属于这个估计类。本文讨论该估计类中估计的容许性问题以及矩阵均方误差准则下估计的比较问题。Abstract: This paper considers a class of linear estimators of regression parameters in a linear model, which contains many well-known linear estimators such as ridge regression, principal components, shrunken least squares and the iteration estimators. The admissibility of the estimators is studied and the comparisons among them are made under the matrix mean square error criterion.