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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 12, Pages 49–58
(Mi ivm1470)
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Limit theorems for random processes with random time substitution
E. E. Permyakova N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan
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
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
Linking options:
https://www.mathnet.ru/eng/ivm1470 https://www.mathnet.ru/eng/ivm/y2008/i12/p49
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Abstract page: | 234 | Full-text PDF : | 48 | References: | 40 | First page: | 4 |
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