多响应线性回归模型Bayes最优设计的等价性定理

Equivalent theorems of Bayesian the optimal design for multiresponse linear regression models

讨论多响应线性回归模型的Bayes设计问题,给出回归参数的Bayes估计,并建立BayesZ-最优准则.在Z-最优准则下,得到了多响应线性回归模型的Bayes最优设计的等价性定理,并将其运用到LB-最优设计上.

We consider the Bayesian design for multiresponse linear regression models. We get the Bayesian estimation of the regression parameter and establish the Bayesian Z - optimal criteria. Based on the criteria, we get the equivalent theorems of the Bayesian optimal design for multiresponse linear regression models. For an application, we get the equivalent theorem of the LB - optimal design.