矩阵损失下带约束生长曲线模型中齐次线性估计的可容许性特征

Characterization of Admissibility for Homogeneous Linear Estimate in Growth Curve Model Under Matrix Loss

证明了约束条件下生长曲线模型中线性估计的可容许性与约束条件下一元线性模型中,线性估计的可容许性在齐次线性估计类中具有等价性,得到了带约束生长曲线模型中线性函数KBL的估计D YF在齐次线性估计类中是可容许估计的充要条件.

We bring the fact to light that the admissibility of the linear estimate in growth curve model under matrix loss is identical with that of the linear estimate in the restricted single linear model under matrix loss. From that we can easily obtain the necessary and sufficient conditions for DYF to be admissible estimators of the linear function KBL in the homogeneous linear class.