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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 12, Pages 49–58 (Mi ivm1470)  
Limit theorems for random processes with random time substitution

E. E. Permyakova

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan
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Abstract: In this paper we prove a theorem on sufficient conditions for the convergence in the Skorokhod space $D[0,1]$ of a sequence of random processes with random time substitution. We obtain almost certain versions of this theorem.
Keywords: Skorokhod space $D[0,1]$, random process with random time substitution, almost certain version.
Received: 26.12.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 12, Pages 41–49
DOI: https://doi.org/10.3103/S1066369X08120074
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: E. E. Permyakova, “Limit theorems for random processes with random time substitution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 12, 49–58; Russian Math. (Iz. VUZ), 52:12 (2008), 41–49
Citation in format AMSBIB
\Bibitem{Per08}
\by E.~E.~Permyakova
\paper Limit theorems for random processes with random time substitution
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 12
\pages 49--58
\mathnet{http://mi.mathnet.ru/ivm1470}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2530557}
\zmath{https://zbmath.org/?q=an:1167.60007}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 12
\pages 41--49
\crossref{https://doi.org/10.3103/S1066369X08120074}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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