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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 1, Pages 180–183 (Mi tvp3329)  
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On a group analogue of a theorem of A. M. Kagan

S. V. Lisyanoi

Kharkiv State University
Full-text PDF (287 kB) Citations (2)
Abstract: The well-known Darmois–Skitovich theorem characterizing the Gaussian distribution on the real line by the independence of two linear statistics was generalized by A. M. Kagan to the case of several linear forms. In the present paper A. M. Kagan's theorem is proved for a wide class of locally compact Abelian groups.
Keywords: Gaussian distribution, locally compact Abelian group, joint distribution of linear forms.
Received: 20.05.1992
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 1, Pages 165–167
DOI: https://doi.org/10.1137/1140016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Lisyanoi, “On a group analogue of a theorem of A. M. Kagan”, Teor. Veroyatnost. i Primenen., 40:1 (1995), 180–183; Theory Probab. Appl., 40:1 (1995), 165–167
Citation in format AMSBIB
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\by S.~V.~Lisyanoi
\paper On a~group analogue of a~theorem of~A.\,M.~Kagan
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 1
\pages 180--183
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1346741}
\zmath{https://zbmath.org/?q=an:0839.60010}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 1
\pages 165--167
\crossref{https://doi.org/10.1137/1140016}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996UH07100016}
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  • https://www.mathnet.ru/eng/tvp/v40/i1/p180
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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