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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 119, Pages 167–173 (Mi znsl3993)  

Distribution of functionals on finitedimensional spaces and distributions of Gaussian sample functions.

S. B. Makarova
Abstract: Every (probability) measure on parametric set $T$ of a random process $\xi_t$ defines a probalility distribution on the set of one-dimentional distributions $P_f$ of the process. This distribution is investigated for Gaussian process $\xi_t$, sufficient condition fоr the inequality $Ex(P_f, \bar P)\leqslant C$ to bold for some $\bar P$ being obtained ($x$-th Kantorovich distance).
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: S. B. Makarova, “Distribution of functionals on finitedimensional spaces and distributions of Gaussian sample functions.”, Problems of the theory of probability distributions. Part VII, Zap. Nauchn. Sem. LOMI, 119, "Nauka", Leningrad. Otdel., Leningrad, 1982, 167–173
Citation in format AMSBIB
\Bibitem{Mak82}
\by S.~B.~Makarova
\paper Distribution of functionals on finitedimensional spaces and distributions of Gaussian sample functions.
\inbook Problems of the theory of probability distributions. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 119
\pages 167--173
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3993}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=666094}
\zmath{https://zbmath.org/?q=an:0498.60041}
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  • https://www.mathnet.ru/eng/znsl/v119/p167
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