For the general fixed effects linear model:Y=Xτ+ε,ε～N（0,V）（or N（0,σ<sup>2</sup>V））,V≥0,we obtain the necessary and sufficient condition for LY+α to be admissible for Sτ in the class of allest...For the general fixed effects linear model:Y=Xτ+ε,ε～N（0,V）（or N（0,σ<sup>2</sup>V））,V≥0,we obtain the necessary and sufficient condition for LY+α to be admissible for Sτ in the class of allestimators under matrix loss function（d-Sτ）（d-Sτ）′;for the general random effects linear model:Y=Xβ+ε,（?）where （?）=XV<sub>11</sub>X′+XV<sub>12</sub>+V<sub>21</sub>X′+V<sub>22</sub>≥0,we also obtain the necessary and sufficient condition for LY+α to be admissible for Sα+Qβin the class of all estimators under matrix loss function（d-Sα-Qβ）（d-Sα-Qβ）′.展开更多
文摘For the general fixed effects linear model:Y=Xτ+ε,ε～N（0,V）（or N（0,σ<sup>2</sup>V））,V≥0,we obtain the necessary and sufficient condition for LY+α to be admissible for Sτ in the class of allestimators under matrix loss function（d-Sτ）（d-Sτ）′;for the general random effects linear model:Y=Xβ+ε,（?）where （?）=XV<sub>11</sub>X′+XV<sub>12</sub>+V<sub>21</sub>X′+V<sub>22</sub>≥0,we also obtain the necessary and sufficient condition for LY+α to be admissible for Sα+Qβin the class of all estimators under matrix loss function（d-Sα-Qβ）（d-Sα-Qβ）′.
