多种标准下生长曲线模型回归系数可容许线性估计的等价性

Equivalent of Admissible Linear Estimate of Regression Coefficients in the General Growth Curve Model for Various Standards

对于一般增长曲线模型,在损失函数(d (y)-KBL)＇(d (y)-KBL)下得出了回归系数的线性可估函数KBL的齐次线性估计DYF、在齐次线性估计类中是可容许估计的充分必要条件.同时,对于不同的矩阵大小比较标准分别讨论了它们各自的可容许性问题,得到了6种意义下可容许的等价定理。

In this paper, the General Growth Curve Model are studied, If KBL is linear estimable, the neccessary and sufficient conditions for homogeneous linear estimate DYF to be admissible estimate under loss function (d(y) -KBL)'(d(y) - KBL) in homogeneous linear estimate class can be obtained. Meanwhile, the admissible questions for various martix comparison standards are discussed res- pectively, the equivalent admissible theorem under six different standards are obtained.