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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 3, Pages 596–609 (Mi tvp3198)  
Invariant statistics and characterizations of probability distributions

A. L. Rukhin

Leningrad
Full-text PDF (833 kB)
Abstract: The problem of a characterization of a family of probability measures with group parameter by the distribution of the maximal invariant is considered. For compact groups and plane movements groups, simple sufficient conditions for such a characterization are given.
Received: 12.12.1973
English version:
Theory of Probability and its Applications, 1976, Volume 20, Issue 3, Pages 584–598
DOI: https://doi.org/10.1137/1120063
Bibliographic databases:
Language: Russian
Citation: A. L. Rukhin, “Invariant statistics and characterizations of probability distributions”, Teor. Veroyatnost. i Primenen., 20:3 (1975), 596–609; Theory Probab. Appl., 20:3 (1976), 584–598
Citation in format AMSBIB
\Bibitem{Ruk75}
\by A.~L.~Rukhin
\paper Invariant statistics and characterizations of probability distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 3
\pages 596--609
\mathnet{http://mi.mathnet.ru/tvp3198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=378175}
\zmath{https://zbmath.org/?q=an:0359.62010}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 20
\issue 3
\pages 584--598
\crossref{https://doi.org/10.1137/1120063}
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