Chen, Jianbao; Deng, Qirong All admissible estimators of the function of mean matrix in multivariate linear models. (Chinese. English summary) Zbl 0905.62003 Acta Math. Sci. (Chin. Ed.) 18, No. 2, 134-139 (1998). Summary: For the multivariate normal model \(Y_{n\times m} \sim N(X\Theta, \Sigma \otimes V)\), \(V\geq 0\) and \(\Sigma\geq 0\) are known. This paper obtains necessary and sufficient conditions for the linear estimator \(LY+D\) of \(SX\Theta\) to be admissible in the class of all estimators under each of three definitions of admissibility. Cited in 3 Documents MSC: 62C15 Admissibility in statistical decision theory 62H12 Estimation in multivariate analysis Keywords:multivariate normal linear model; quadratic loss; class of all estimators PDFBibTeX XMLCite \textit{J. Chen} and \textit{Q. Deng}, Acta Math. Sci. (Chin. Ed.) 18, No. 2, 134--139 (1998; Zbl 0905.62003)