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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 61, Pages 25–37 (Mi znsl2055)  
An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter

A. A. Zinger
Full-text PDF (501 kB)
Abstract: An estimate of stability is obtained in a theorem on characterizing the normal law by the property of sufficiency of the sample mean as an estimate of the location parameter in the presence of a nuisance scale parameter when the loss function is quadratic.
English version:
Journal of Soviet Mathematics, 1981, Volume 16, Issue 5, Pages 1355–1364
DOI: https://doi.org/10.1007/BF01091627
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. A. Zinger, “An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter”, Continuity and stability in the problems of probability theory and mathematical statistics, Zap. Nauchn. Sem. LOMI, 61, "Nauka", Leningrad. Otdel., Leningrad, 1976, 25–37; J. Soviet Math., 16:5 (1981), 1355–1364
Citation in format AMSBIB
\Bibitem{Zin76}
\by A.~A.~Zinger
\paper An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter
\inbook Continuity and stability in the problems of probability theory and mathematical statistics
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 61
\pages 25--37
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2055}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=433655}
\zmath{https://zbmath.org/?q=an:0485.62013|0345.62022}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 5
\pages 1355--1364
\crossref{https://doi.org/10.1007/BF01091627}
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