In this paper, we discuss admissibility for linear estimates on regression coefficients in a general multivariate linear model. Eight kinds of definition for admissibility are given. We have proved that they can be divided into three identical subclasses in the class of linear estimates, and got necessary and sufficient conditions for admissible estimates on each subclass. Particularly, the eight kinds of admissibility are identical under a special case of the model.
机构:
School of Mathematica Science and Computing Technology,Central South UniversitySchool of Info-physics and Geometics Engineering,Central South University