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THE REDUCTION OF RISKS FOR SET‐VALUED ESTIMATORS
Author(s) -
Meister H.,
Moeschlin O.
Publication year - 1988
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1988.tb00847.x
Subject(s) - estimator , banach space , mathematics , extension (predicate logic) , set (abstract data type) , connection (principal bundle) , reduction (mathematics) , regular polygon , point (geometry) , space (punctuation) , set function , discrete mathematics , computer science , statistics , geometry , programming language , operating system
Summary An extension of the Theorem of Rao‐Blackwell will be given for the case of set‐valued estimators, its images being nonempty, compact‐convex subsets of a certain Banach space. Moreover sufficiency will be characterized in connection with set‐valued estimators by related point‐valued functions.