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《Journal of Anhui Normal University(Natural Science)》 2009-01
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The Minimax Estimate for Restricted Multivariate Regression Coefficient Under Matrix Loss Function

GAO Ting-ting1,TIAN Li2(1.Dept.of Appl.Math.& Phy.Anhui University Technology and Science, Wuhu 241000,China;2.Dept.of Elec.Engn.Anhui University of Technology and Science,Wuhu 241000,China)  
For a multivariate linear model Y=XΘ+ε,E(■)=0,COV(■)=σ2▽Σ,HΘ=0,in this paper,under the matrix loss functions,the Minimax estimates of linear estimates with respect to restricted multivariate regression coefficient is studied and the unique linear Minimax estimate of the estimable function SΘ is obtained(We must comprehend uniqueness in the sense of "almost everywhere").
【Fund】: 安徽省高校自然科学研究重点项目(KJ2007A012);; 安徽省教育厅自然科学基金(2007JYXM195)
【CateGory Index】: O212.1
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 TAN Tao (Department of Statistics,Tianjin University of Finance & Economics,Tianjin 300222 China);THE MINIMAX ADMISSIBILITY OF LINEAR ESTIMATES FOR MULTIVARIATE REGRESSION COEFFICIENTS[J];Journal of Guangxi Normal University(Natural Science);2001-01
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Chinese Journal Full-text Database 5 Hits
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