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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 284–293 (Mi znsl3710)  

Lehmann-unbiased decision rules: admissibility and invariance

A. L. Rukhin, D. Plachky

University of Maryland, USA
Abstract: In the paper it is proved that unbiased Lehman's estimators for convex parameter sets with the boundary are inadmissible. Some modification of the unbiased Lehman's property for invariant statistical procedures are discussed. Bibl. 23 titles.
Received: 20.05.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 436–442
DOI: https://doi.org/10.1007/BF02364829
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. L. Rukhin, D. Plachky, “Lehmann-unbiased decision rules: admissibility and invariance”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 284–293; J. Math. Sci. (New York), 93:3 (1999), 436–442
Citation in format AMSBIB
\Bibitem{RukPla96}
\by A.~L.~Rukhin, D.~Plachky
\paper Lehmann-unbiased decision rules: admissibility and invariance
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 284--293
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3710}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449864}
\zmath{https://zbmath.org/?q=an:0953.62505}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 436--442
\crossref{https://doi.org/10.1007/BF02364829}
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