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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 158, Pages 122–126 (Mi znsl5380)  

Random processes generated by independent variables and the strong convergence of functionals

G. V. Martynova
Abstract: In the present paper we get sufficient conditions for the strong convergence of distributions of functionals of a sequence of stochastic processes, linearly generated by independent random variables, in the case when the distributions of these processes converge weakly to a Gaussian measure.
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: G. V. Martynova, “Random processes generated by independent variables and the strong convergence of functionals”, Problems of the theory of probability distributions. Part X, Zap. Nauchn. Sem. LOMI, 158, "Nauka", Leningrad. Otdel., Leningrad, 1987, 122–126
Citation in format AMSBIB
\Bibitem{Mar87}
\by G.~V.~Martynova
\paper Random processes generated by independent variables and the strong convergence of functionals
\inbook Problems of the theory of probability distributions. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 158
\pages 122--126
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5380}
\zmath{https://zbmath.org/?q=an:0662.60044}
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  • https://www.mathnet.ru/eng/znsl/v158/p122
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