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Limit theorems for random processes with random time substitution
Authors:E E Permyakova
Institution:(1) N. G. Chebotaryov Research Institute of Mathematics and Mechanics, ul. Professora Nuzhina 1/37, Kazan, 420008, Russia
Abstract:In this paper we prove a theorem on sufficient conditions for the convergence in the Skorokhod space D0, 1] of a sequence of random processes with random time substitution. We obtain almost sure versions of this theorem.
Keywords:Skorokhod space D[0  1]            random process with random time substitution  almost sure version
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