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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 209–219 (Mi znsl3704)  

Random processes with strong average condition

O. Yu. Kul'chitsky

Saint-Petersburg State Technical University
Abstract: New classes of stochastic processes satisfying the strong average condition are introduced. This expands known properties of strong mixing and regularity. Sufficient conditions are obtained for the solution of system of stochastic differential Ito equation to satisfy the condition of a strong average. Bibl. 10 titles.
Received: 20.04.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 385–391
DOI: https://doi.org/10.1007/BF02364823
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: O. Yu. Kul'chitsky, “Random processes with strong average condition”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 209–219; J. Math. Sci. (New York), 93:3 (1999), 385–391
Citation in format AMSBIB
\Bibitem{Kul96}
\by O.~Yu.~Kul'chitsky
\paper Random processes with strong average condition
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 209--219
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3704}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449858}
\zmath{https://zbmath.org/?q=an:0927.60049}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 385--391
\crossref{https://doi.org/10.1007/BF02364823}
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