Abstract
Generalizing a result of Girshick and Savage (In Proc. 2nd Berkeley Sympos. Math. Statist. Probab., Vol. 1, 1951, pp. 53–74) , for location parameter families, it was shown by Strasser, 1982 ( Z. Wahrsch. Verw. Gebiete 60 223–247) , that Pitman estimators are minimax for translation invariant experiments with a Euclidean parameter space. In the present paper this theorem is extended to experiments whose parameter space is homogeneous under the action of a topological group.
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