| 矩阵正态变量均值二次型阵的估计 |
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| 引用本文： | 朱显海,丁永臻.矩阵正态变量均值二次型阵的估计[J].东北师大学报(自然科学版),1991(4):13-16. |
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| 作者姓名： | 朱显海 丁永臻 |
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| 作者单位： | 东北师大数学系，东北师大数学系 |
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| 摘 要： |
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| 关 键 词： | 矩阵正态变量 二次型阵 估计 |
ESTIMATION OF THE QUADRATIC FORM MATRIX OF MATRIX NORMAL VARIBLE MEAN |
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| Zhu Xianhai,Ding Yongzhen.ESTIMATION OF THE QUADRATIC FORM MATRIX OF MATRIX NORMAL VARIBLE MEAN[J].Journal of Northeast Normal University (Natural Science Edition),1991(4):13-16. |
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| Authors: | Zhu Xianhai Ding Yongzhen |
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| Institution: | Zhu Xianhai;Ding Yongzhen |
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| Abstract: | In paper,Muirhead considers the estimator of the noncentral parameter matrix in deci- sion-theoretic approach,which occurs in the noncentral Wishart,noncentral multivariate F,and their applications.In this paper,more generally,we consider general form of estimation of the quadratic form matrix of matrix normal variable mean under quadratic loss in decision-theoretic approch, and find out linear and nonlinear estimators which dominate their unbiased estimators,generalize the main results of paper. |
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| Keywords: | Matrix normal variable Quadratic form matrix Quadratic loss Linear and nonlinear estimators |
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