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All $$E$$-admissible and $$G$$-admissible linear estimators of the common mean matrix parameter. (Chinese. English summary) Zbl 0936.62062
Summary: For a general multivariate linear model, this paper discusses the $$E$$-admissibility and $$G$$-admissibility of the linear estimator for $$SX \Theta$$ in the class of all estimators, and gives a necessary and sufficient condition for $$\sum^n_{i=1}A_iY_i$$ to be an $$E$$-admissible estimator of $$SX \Theta$$ and that for $$\sum^m_{i=1}A_iY_i$$ to be a $$G$$-admissible estimator of $$SX \Theta$$.
##### MSC:
 62H12 Estimation in multivariate analysis 62C15 Admissibility in statistical decision theory 62J05 Linear regression; mixed models