Silvestrov, D. S. Necessary and sufficient conditions for convergence of first-rare-event-time processes for perturbed semi-Markov processes. (English) Zbl 1390.60270 Theory Probab. Math. Stat. 95, 131-151 (2017) and Teor. Jmovirn. Mat. Stat. 95, 119-137 (2016). MSC: 60J10 60J22 60J27 60K15 65C40 PDFBibTeX XMLCite \textit{D. S. Silvestrov}, Theory Probab. Math. Stat. 95, 131--151 (2017; Zbl 1390.60270) Full Text: DOI arXiv
Silvestrov, Dmitrii S. Convergence in Skorokhod topology for compositions of stochastic processes. (English) Zbl 0973.60029 Korolyuk, V. (ed.) et al., Skorokhod’s ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 32, 298-306 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F17 60G40 PDFBibTeX XMLCite \textit{D. S. Silvestrov}, in: Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. 298--306 (2000; Zbl 0973.60029)
Silvestrov, Dmitrii S.; Teugels, Jozef L. Limit theorems for extremes with random sample size. (English) Zbl 0916.60017 Adv. Appl. Probab. 30, No. 3, 777-806 (1998). Reviewer: E.Pancheva (Sofia) MSC: 60F05 60G70 PDFBibTeX XMLCite \textit{D. S. Silvestrov} and \textit{J. L. Teugels}, Adv. Appl. Probab. 30, No. 3, 777--806 (1998; Zbl 0916.60017) Full Text: DOI
Sil’vestrov, D. S. Invariance principle for cumulative processes with semi-Markov switch- overs in triangular array. (English. Russian original) Zbl 0776.60110 Theory Probab. Appl. 36, No. 3, 519-535 (1991); translation from Teor. Veroyatn. Primen. 36, No. 3, 505-520 (1991). MSC: 60K15 60F17 60J65 PDFBibTeX XML
Sil’vestrov, D. S. The invariance principle for accumulation processes with semi-Markov switchings in the series scheme. (Russian. Russian original) Zbl 0748.60089 Teor. Veroyatn. Primen. 36, No. 3, 505-520 (1991). Reviewer: B.P.Kharlamov (St.Petersburg) MSC: 60K15 60F17 60J65 PDFBibTeX XMLCite \textit{D. S. Sil'vestrov}, Teor. Veroyatn. Primen. 36, No. 3, 505--520 (1991; Zbl 0748.60089)