Abstract
Two restricted linear models M 0 and M are considered. The models can differ in model matrices, dispersion matrices, and possibly in parameter restrictions. The validity under M of estimators that are admissible and linearly sufficient under M 0 is studied. Criteria are derived for strong and week validity, i.e. when all estimators and at least one, respectively, preserve their properties. Some supplementary results for unrestricted model are also given.
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