Timofeev, N. M.; Usmanov, Kh. Kh. On a class of arithmetical models of random processes. (Russian) Zbl 0647.60009 Dokl. Akad. Nauk Tadzh. SSR 29, 330-334 (1986). 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 Cited in 2 Documents MSC: 60B10 Convergence of probability measures 60G07 General theory of stochastic processes Keywords:arithmetical models of random processes; weak convergence; Skorokhod topology; characteristic function PDFBibTeX XMLCite \textit{N. M. Timofeev} and \textit{Kh. Kh. Usmanov}, Dokl. Akad. Nauk Tadzh. SSR 29, 330--334 (1986; Zbl 0647.60009)