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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 72, Pages 154–160 (Mi znsl1973)  
Limit distributions of random functionals on a process

V. N. Sudakov
Full-text PDF (486 kB)
Abstract: The article introduces the notion of a limit distribution of random linear functionals on a linear measure space with respect to some spherically invariant measure. It is proved that if the limit distribution exists, it is constant, i.e., a typical distribution of the linear functional exists.
English version:
Journal of Soviet Mathematics, 1983, Volume 23, Issue 3, Pages 2330–2335
DOI: https://doi.org/10.1007/BF01682813
Bibliographic databases:
UDC: 519.62
Language: Russian
Citation: V. N. Sudakov, “Limit distributions of random functionals on a process”, Problems of the theory of probability distributions. Part IV, Zap. Nauchn. Sem. LOMI, 72, "Nauka", Leningrad. Otdel., Leningrad, 1977, 154–160; J. Soviet Math., 23:3 (1983), 2330–2335
Citation in format AMSBIB
\Bibitem{Sud77}
\by V.~N.~Sudakov
\paper Limit distributions of random functionals on a process
\inbook Problems of the theory of probability distributions. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 72
\pages 154--160
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1973}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=467868}
\zmath{https://zbmath.org/?q=an:0517.60038|0405.60034}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 23
\issue 3
\pages 2330--2335
\crossref{https://doi.org/10.1007/BF01682813}
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