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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 142–153 (Mi znsl3699)  
Quasi-probability Wigner densities and characterization of Gaussian distribution

A. A. Zinger

Academy of Aerospace Equipment Construction
Full-text PDF (457 kB)
Abstract: A new characterization of the Gaussian distribution by nonnegativity of a quazi-probability Wigner density was established by R. Hudson in 1974. Some sharpenings and extensions of this result are proposed, and connections with some other characterizations of Gaussian distribution are established. Linnik's “ridge principle” is essentially used. Bibl. 11 titles.
Received: 20.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 341–348
DOI: https://doi.org/10.1007/BF02364818
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. A. Zinger, “Quasi-probability Wigner densities and characterization of Gaussian distribution”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 142–153; J. Math. Sci. (New York), 93:3 (1999), 341–348
Citation in format AMSBIB
\Bibitem{Zin96}
\by A.~A.~Zinger
\paper Quasi-probability Wigner densities and characterization of Gaussian distribution
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 142--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449853}
\zmath{https://zbmath.org/?q=an:1126.62314}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 341--348
\crossref{https://doi.org/10.1007/BF02364818}
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