admissibility for linear estimators on regression coefficients in a general multivariate linear model under balanced loss function

In this paper the matrix balanced loss function are proposed according to Zellnerʹs thought of balanced loss. Then Φ admissibility for linear estimators on regression coefficients in a general multivariate linear model is investigated under the matrix balanced loss function. And the sufficient and necessary conditions that linear estimators are Φ admissible in a class of homogeneous and inhomogeneous linear estimators are obtained, respectively.