摘要
讨论了随机效应多元模型回归系数线性估计的可容许性,给出了八种形式不同的可容许性定义,并证明它们在齐次线性估计类中虽不一致,但可把它们分为三个一致的类,而且得到了各类的可容许估计的充要条件,此外,在较特殊的模型下,证明了它们在齐次线性估计类中是一致的。
We consider the admissibility for linear estimates on regression coefficients in multivariate random effect linear model and give eight different definitions for admissibility form. We prove that they aren't identical in the class of homogeneous linear estimate, but they can be divided into three identical subclasses. In a special linear model, they are identical in the class of homogeneous linear estimate.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
1992年第3期279-285,共7页
Journal of Central China Normal University:Natural Sciences
关键词
多元
线性模型
参数估计
multivariate linear model
admissibility