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On a class of arithmetical models of random processes. (Russian) Zbl 0647.60009

The authors present a constructive structure for one class of arithmetical models of random processes. They derive necessary and sufficient conditions for the weak convergence in \({\mathcal D}[0,1]\) (with the Skorokhod topology) of measures corresponding to this class of random processes and also give the structure of the characteristic function corresponding to the limit measure.
Reviewer: Z.Piranashvili

MSC:

60B10 Convergence of probability measures
60G07 General theory of stochastic processes
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