研究了一般随机效应多元线性模型中未来观察值的线性预测的泛容许性,引入了线性可预测变量的泛容许预测的概念,并得到了齐次线性预测(非齐次线性预测)在齐次线性预测类(非齐次线性预测类)中是泛容许预测的充要条件.
General admissibility of linear predictors of future observations in the general random effects multivariate model are investigated. We give the definition for general admissible predictor of a linear predictable variable QY0. Necessary and sufficient conditions for a linear predictor LY(LY + α) of QY0 to be general admissible in the class of homogeneous linear predictors (nonhomogeneous linear predictors) are obtained.