多元线性模型中随机回归系数和参数的线性估计的泛容许性

GENERAL ADMISSIBILITY OF LINEAR ESTIMATES ON RANDOM REGRESSION COEFFICIENTS AND PARAMETERS IN A MULTIVARIATE LINEAR MODEL

本文对于一般的随机效应多元线性模型，给出了随机回归系数和参数的线性可估函数的泛容许性估计的定义，并得到了随机回归系数和参数的线性可估函数的齐线性估计（非齐线性估计）在齐线性估计类（非齐线性估计类）中泛容许性的特征．

In this paper,we give the definition for general admissible estimate of a linear estimable function of random regression coefficients and parameters in multivariate random effect linear model. The necessary and sufficient conditions for an estimable LY(LY+a) of to be general admissible among the class of homgeneous linear estimates (linear estimates) are gained.