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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 153, Pages 37–44 (Mi znsl5130)  
Contribution to the analytic theory of linear forms of independent random variables

A. A. Zinger, A. M. Kagan
Full-text PDF (383 kB)
Abstract: Characterizations of the Gaussian distribution through natural properties of linear forms of independent random variables are refined by replacing the $\sigma$-algebra generated by one form with a finite dimensional space of the polynomials in this form.
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. A. Zinger, A. M. Kagan, “Contribution to the analytic theory of linear forms of independent random variables”, Studies in mathematical statistics. Part VII, Zap. Nauchn. Sem. LOMI, 153, "Nauka", Leningrad. Otdel., Leningrad, 1986, 37–44
Citation in format AMSBIB
\Bibitem{ZinKag86}
\by A.~A.~Zinger, A.~M.~Kagan
\paper Contribution to the analytic theory of linear forms of independent random variables
\inbook Studies in mathematical statistics. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1986
\vol 153
\pages 37--44
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5130}
\zmath{https://zbmath.org/?q=an:0602.60022}
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  • https://www.mathnet.ru/eng/znsl/v153/p37
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