JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (06): 33-38.doi: 10.6040/j.issn.1671-9352.0.2014.201

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Minimax estimator for multivariate linear model of regression coefficient matrix

GAO Ting-ting, FAN Guo-liang   

  1. School of Math-Physics, Anhui Polytechnic University, Wuhu 241000, Anhui, China
  • Received:2014-05-06 Revised:2015-01-06 Online:2015-06-20 Published:2015-07-31

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Abstract: For the multivariate linear model Y=XΘ+ε, E(ε)=0, COV(ε)=σ2▽⊗Σ, where ▽>0 and Σ≥0 are known matrix, the minimax estimator of regression coefficients matrix in the multivariate linear model was considered. Under the matrix loss function, the property of linear estimators was investigated. The unique minimax estimator of linearly estimable functions SΘ of coefficients matrix was obtained under the suitable hypotheses.

Key words: Minimax estimator, regression coefficients matrix, matrix loss

CLC Number: 

  • O212
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