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Admissibility and general admissibility of simultaneous linear estimates of random regression coefficients and parameters in a multivariate linear model. (Chinese. English summary) Zbl 0905.62004
Summary: This paper gives the definitions for a general admissible estimate of a simultaneous linear estimable function $${S\Theta \choose QB}$$ under the multivariate random effects linear model. It also gives eight different definitions for admissibility of $${S\Theta \choose QB}$$. Besides, it gets the admissible and generally admissible character of the simultaneous linear estimate of random regression coefficients and parameters in the class of linear estimates.
##### MSC:
 62C15 Admissibility in statistical decision theory 62H12 Estimation in multivariate analysis 62J05 Linear regression; mixed models