Constrained Bayes and empirical Bayes estimation under random effects normal ANOVA model with balanced loss function

摘要

The paper develops constrained Bayes and empirical Bayes estimators in the random effects ANOVA model under balanced loss functions. In the balanced normal-normal model, estimators of the Bayes risks of the constrained Bayes and constrained empirical Bayes estimators are provided which are correct asymptotically up to O(m(-1)) that is the remainder term is O(m(-1)), m denoting the number of strata.