带有不完全椭球约束的增长曲线模型中的可容许性

Admissibility of Linear Estimator in Growth Gurve Model with Respect to A Incomplete Ellipsoidal Restriction

对于带有不完全椭球约束的增长曲线模型Y=X1ΘX2+ε,ε～(0,σ2VI),X′2(Θ-Θ0)′X′1(Θ-Θ0)X2σ2Iq本文在矩阵损失函数(d-KΘL)′(d-KΘL)下给出了KΘL在齐次线性估计类和非齐次线性估计类中可容许的充分条件.

For the growth curve model with respect to a restricted parameter set: Y=X 1ΘX 2+ε,ε→～(0,σ 2VI),X′ 2(Θ-Θ 0)′X′ 1NX 1(Θ-Θ 0)X 2σ 2I q We consider the admissibility of linear estimators of KΘL under the matrix loss function (d-KΘL)′(d-KΘL) .The necessary and sufficient conditions for DYF to be admissible estimators of KΘL in the class of homogeneous linear estimators and for DYF+C to be admissible estimators of KΘL in the class of non-homogeneous linear estimators are gained,whether KΘL is estimable or non-estimable.