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October, 1967 A Special Group Structure and Equivariant Estimation
Robert H. Berk
Ann. Math. Statist. 38(5): 1436-1445 (October, 1967). DOI: 10.1214/aoms/1177698698


A special group structure common to many statistical problems is presented. In the context of equivariant estimation, this leads to a characterization of equivariant estimators (Section 3). Under further conditions, measurable equivariant estimators are characterized (Section 4). Some examples are presented in Section 5 and Section 6 contains a brief discussion of related work in which the special group structure is useful.


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Robert H. Berk. "A Special Group Structure and Equivariant Estimation." Ann. Math. Statist. 38 (5) 1436 - 1445, October, 1967.


Published: October, 1967
First available in Project Euclid: 27 April 2007

zbMATH: 0162.49902
MathSciNet: MR215405
Digital Object Identifier: 10.1214/aoms/1177698698

Rights: Copyright © 1967 Institute of Mathematical Statistics

Vol.38 • No. 5 • October, 1967
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