Minimax estimators in the Manova model for arbitrary quadratic loss and unknown covariance matrix

Minimax estimators in the Manova model for arbitrary quadratic loss and unknown covariance matrix
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Manova 模型中任意二次损失和未知协方差矩阵的 Minimax 估计量

DOI:
10.1016/0047-259x(91)90095-j
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发表时间:
1991
影响因子:
1.6
通讯作者:
Toshio Honda
Toshio Honda
中科院分区:
数学2区
文献类型:
--
作者:
Toshio Honda

文献摘要

被引文献

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考虑了风险矩阵E(B − B)′ Q(B − B)下正态多元回归模型系数矩阵B(p× m)的估计问题,其中Q是已知的pd矩阵,并给出了Gleser型估计,改进了通常的估计量X.
This paper considers the problem of estimating of the coefficient matrix B (p× m) in a normal multivariate regression model under the risk matrix E (B ̂− B)′ Q (B ̂− B), where Q is a known pd matrix, and proposes Gleser type estimators which improve on the usual estimator X.