All admissible linear estimates of the mean matrix (Q1209878)

Let \(Y\) be an \(n\times m\) matrix having a normal distribution \(N(\Theta_{n\times m},I_ n\otimes I_ m)\) where \(\Theta_{n\times m}\) is an unknown matrix and the covariance matrix \(I_ n\times I_ m\) is the Kronecker product of unit matrices. The author gives several definitions of admissibility and obtains all admissible linear estimates of the mean matrix \(\Theta\) under each of the several definitions of admissibility.