On admissible estimation for parametric functions in linear models

This paper deals with the linear model Ey∈K, Cov y∈V. The question is investigated when a parametric function (a,y) is an admissible or inadmissible estimator of some parametric function (p,Ey). It is also discussed when a linear mapping C:K→K has the property that (a,cy) is an admissible estimator of ((Ey),a) for all a∈K. Finall the question is raised how inadmissible estimators (a,y) can be replaced by admissible estimators superior to (a,y).