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Original Articles

Equivariant estimators for structural models

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Pages 351-356 | Received 01 Mar 1977, Published online: 05 Jul 2007
 

Abstract

For invariant statistical models, the use of invariant decision rules in estimation problems with an invariant loss function is prominent in the literature and is fully discussed in the books by Ferguson [2] and Zacks [7].

This paper shows that if an invariant statistical model is also a structural model, then the search for minimum risk equivariant estimator may be facilitated by means of a property enjoyed by equivariant estimators for structural models.

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