得到了βi在线性模型M=(y,X1β1+X2β2,T)下的Bayes线性无偏估计与其在小模型Mi=(y,Xiβi,T)下的Bayes线性无偏估计相等的充分必要条件,i=1,2;并考虑了Xiβi在小模型Mi下的Bayes线性无偏估计之和与Xβ在全模型M下的Bayes线性无偏估计之间的相等关系.
Equality of Bayes linear unbiased estimator for βi in linear model M and M1 is discussed,and the necessary and sufficient conditions are derived for the Bayes linear unbiased estimator in the partitioned linear model M=(y,X1β1+X2β2,T) to be the sum of the Bayes linear unbiased estimators under the two small models M1=(y,X1β1,T) and M2=(y,X2β2,T).