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Teoriya Veroyatnostei i ee Primeneniya, 1967, Volume 12, Issue 4, Pages 762–764 (Mi tvp769)  
Short Communications

The complex normal law and the admissibility of the sample mean as an estimator of a location parameter

A. L. Rukhin

Leningrad
Full-text PDF (177 kB)
Abstract: It is proved that the sample mean is an admissible unbiased estimator of a complex location parameter if and only if the population distribution function is a complex normal one.
Received: 03.11.1966
English version:
Theory of Probability and its Applications, 1967, Volume 12, Issue 4, Pages 695–697
DOI: https://doi.org/10.1137/1112087
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Rukhin, “The complex normal law and the admissibility of the sample mean as an estimator of a location parameter”, Teor. Veroyatnost. i Primenen., 12:4 (1967), 762–764; Theory Probab. Appl., 12:4 (1967), 695–697
Citation in format AMSBIB
\Bibitem{Ruk67}
\by A.~L.~Rukhin
\paper The complex normal law and the admissibility of the sample mean as an estimator of a~location parameter
\jour Teor. Veroyatnost. i Primenen.
\yr 1967
\vol 12
\issue 4
\pages 762--764
\mathnet{http://mi.mathnet.ru/tvp769}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=219168}
\zmath{https://zbmath.org/?q=an:0162.50001}
\transl
\jour Theory Probab. Appl.
\yr 1967
\vol 12
\issue 4
\pages 695--697
\crossref{https://doi.org/10.1137/1112087}
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