General admissibility for linear estimators of multivariate regression coefficients with respect to a restricted parameter set

For the multivariate linear model with respect to a restricted parameter set Y=XΘ+ε,ε～(0,∑ V),Θ′X′NXΘ≤∑,it is given the definition for general admissible estimator of SΘ.The necessary and sufficient conditions for AY(AY+C) to be general admissible estimator of SΘ in the class of homogenous(non-homogenous) linear estimators are gained,whether SΘ is estimable or non-estimable.