Prats’ovytyj, M. V.; Leshchyns’kyj, O. L. Properties of random variables defined by the distributions of elements of their \(\widetilde Q_{\infty}\)-representation. (English. Ukrainian original) Zbl 0939.60083 Theory Probab. Math. Stat. 57, 143-148 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 134-139 (1997). The authors deal with random variables which are represented by distributions of elements of the \(\widetilde Q_{\infty}\)-representation. The structure of distributions of such r.v. and metric properties of the spectrum are studied. For similar problems see A. F. Turbin and N. V. Pratsevityj [“Fractal sets, functions, distributions” (1992; Zbl 0861.28005)]. Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J10 Markov chains (discrete-time Markov processes on discrete state spaces) 60A10 Probabilistic measure theory 28A78 Hausdorff and packing measures 60E05 Probability distributions: general theory 28A80 Fractals Keywords:spectral properties; distributions; chain fractions Citations:Zbl 0861.28005 × Cite Format Result Cite Review PDF