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Matematicheskie Zametki, 1976, Volume 20, Issue 1, Pages 139–146 (Mi mzm7846)  
Two characteristic properties of normal distributions in the class $NH$

V. A. Romanovich, N. V. Lobaskina

Tomsk State University
Full-text PDF (611 kB)
Abstract: In this note are deduced two characterizations of normal distributions in the class $NH$ of probability distributions on a plane whose densities admit diagonal expansions in series of Hermite polynomials and the marginal distributions are standardized and normal.
Received: 02.01.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 1, Pages 636–640
DOI: https://doi.org/10.1007/BF01152771
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. A. Romanovich, N. V. Lobaskina, “Two characteristic properties of normal distributions in the class $NH$”, Mat. Zametki, 20:1 (1976), 139–146; Math. Notes, 20:1 (1976), 636–640
Citation in format AMSBIB
\Bibitem{RomLob76}
\by V.~A.~Romanovich, N.~V.~Lobaskina
\paper Two characteristic properties of normal distributions in the class~$NH$
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 1
\pages 139--146
\mathnet{http://mi.mathnet.ru/mzm7846}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=420936}
\zmath{https://zbmath.org/?q=an:0343.62011}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 1
\pages 636--640
\crossref{https://doi.org/10.1007/BF01152771}
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