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It is already shown in Arnold and Stahlecker (2009) that, in linear regression, a uniformly best estimator exists in the class of all Γ-compatible linear affine estimators. Here, prior information is given by a fuzzy set Γ defined by its ellipsoidal α-cuts. Surprisingly, such a uniformly best linear affine estimator is uniformly best not only in the class of all Γ-compatible linear affine estimators...
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