Geodesic
Limit theorems for random processes with random time substitution
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2008), pp. 49-58

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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. 
@article{IVM_2008_12_a6,
     author = {E. E. Permyakova},
     title = {Limit theorems for random processes with random time substitution},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {49--58},
     publisher = {mathdoc},
     number = {12},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_12_a6/}
}
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E. E. Permyakova. Limit theorems for random processes with random time substitution. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2008), pp. 49-58. http://geodesic.mathdoc.fr/item/IVM_2008_12_a6/