Limit theorems for random processes with random time substitution |
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Authors: | E. E. Permyakova |
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Affiliation: | (1) N. G. Chebotaryov Research Institute of Mathematics and Mechanics, ul. Professora Nuzhina 1/37, Kazan, 420008, Russia |
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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 sure versions of this theorem. |
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Keywords: | Skorokhod space D[0, 1] random process with random time substitution almost sure version |
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