Silvestrov, D.; Silvestrov, S.; Abola, B.; Biganda, P. S.; Engström, C.; Mango, J. M.; Kakuba, G. Coupling and ergodic theorems for Markov chains with damping component. (English) Zbl 07291178 Theory Probab. Math. Stat. 101, 243-264 (2020) and Teor. Jmovirn. Mat. Stat. 101, 212-231 (2019). MSC: 60J10 60J22 65C40 90B15 68M11 PDF BibTeX XML Cite \textit{D. Silvestrov} et al., Theory Probab. Math. Stat. 101, 243--264 (2020; Zbl 07291178) Full Text: DOI
Silvestrov, D. S.; Silvestrov, S. D. Asymptotic expansions for power-exponential moments of hitting times for nonlinearly perturbed semi-Markov processes. (English) Zbl 1409.60108 Theory Probab. Math. Stat. 97, 183-200 (2018) and Teor. Jmovirn. Mat. Stat. 97, 171-187 (2017). MSC: 60J10 60J27 60K15 65C40 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{S. D. Silvestrov}, Theory Probab. Math. Stat. 97, 183--200 (2018; Zbl 1409.60108) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. S. Silvestrov}, Theory Probab. Math. Stat. 95, 131--151 (2017; Zbl 1390.60270) Full Text: DOI
Silvestrov, D. S.; Lundgren, R. Convergence of option rewards for multivariate price processes. (English) Zbl 1274.91443 Theory Probab. Math. Stat. 85, 115-131 (2012); translation from Teor. Jmovirn. Mat. Stat. 85, 102-116 (2011). MSC: 91G20 60H10 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{R. Lundgren}, Theory Probab. Math. Stat. 85, 115--131 (2012; Zbl 1274.91443); translation from Teor. Jmovirn. Mat. Stat. 85, 102--116 (2011) Full Text: DOI
Silvestrov, D. S.; Jönsson, H.; Stenberg, F. Convergence of option rewards for Markov type price processes modulated by stochastic indices. II. (Ukrainian, English) Zbl 1224.91200 Teor. Jmovirn. Mat. Stat. 80, 138-155 (2009); translation in Theory Probab. Math. Stat. 80, 153-172 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 91G80 91G20 60J25 60H10 PDF BibTeX XML Cite \textit{D. S. Silvestrov} et al., Teor. Ĭmovirn. Mat. Stat. 80, 138--155 (2009; Zbl 1224.91200); translation in Theory Probab. Math. Stat. 80, 153--172 (2010) Full Text: DOI
Silvestrov, D. S.; Jönsson, H.; Stenberg, F. Convergence of option rewards for Markov type price processes modulated by stochastic indices. I. (Ukrainian, English) Zbl 1224.91199 Teor. Jmovirn. Mat. Stat. 79, 138-154 (2008); translation in Theory Probab. Math. Stat. 79, 153-170 (2009). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 91G80 91G20 60J25 60H10 PDF BibTeX XML Cite \textit{D. S. Silvestrov} et al., Teor. Ĭmovirn. Mat. Stat. 79, 138--154 (2008; Zbl 1224.91199); translation in Theory Probab. Math. Stat. 79, 153--170 (2009) Full Text: DOI
Silvestrov, D. S. Convergence in Skorokhod \(J\)-topology for compositions of stochastic processes. (English) Zbl 1199.60103 Theory Stoch. Process. 14(30), No. 1, 126-143 (2008). MSC: 60F17 60-02 PDF BibTeX XML Cite \textit{D. S. Silvestrov}, Theory Stoch. Process. 14(30), No. 1, 126--143 (2008; Zbl 1199.60103)
Silvestrov, D.; Jönsson, H.; Stenberg, F. Convergence of option rewards for Markov type price processes. (English) Zbl 1164.60055 Theory Stoch. Process. 13, No. 29, Part 4, 189-200 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60J05 60H10 91B28 91B70 PDF BibTeX XML Cite \textit{D. Silvestrov} et al., Theory Stoch. Process. 13(29), No. 4, 189--200 (2007; Zbl 1164.60055)
Silvestrov, D. S.; Drozdenko, M. O. Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II. (English) Zbl 1142.60058 Theory Stoch. Process. 12, No. 28, Part 3-4, 187-202 (2006). Reviewer: A. D. Borisenko (Kyïv) MSC: 60K15 60F17 60K20 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{M. O. Drozdenko}, Theory Stoch. Process. 12(28), No. 3--4, 187--202 (2006; Zbl 1142.60058)
Silvestrov, D. S.; Drozdenko, M. O. Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. I. (English) Zbl 1141.60054 Theory Stoch. Process. 12, No. 28, Part 3-4, 151-186 (2006). Reviewer: A. D. Borisenko (Kyïv) MSC: 60K15 60F17 60K20 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{M. O. Drozdenko}, Theory Stoch. Process. 12(28), No. 3--4, 151--186 (2006; Zbl 1141.60054)
Silvestrov, D. Limit theorems for randomly stopped stochastic processes. (English) Zbl 1120.60020 J. Math. Sci., New York 138, No. 1, 5467-5471 (2006). Reviewer: Allan Gut (Uppsala) MSC: 60F05 60G07 60F99 PDF BibTeX XML Cite \textit{D. Silvestrov}, J. Math. Sci., New York 138, No. 1, 5467--5471 (2006; Zbl 1120.60020) Full Text: DOI
Jönsson, H.; Kukush, A. G.; Silvestrov, D. S. Threshold structure of optimal stopping strategies for American type option. II. (English) Zbl 1102.91048 Teor. Jmovirn. Mat. Stat. 72, 42-53 (2005) and Theory Probab. Math. Stat. 72, 47-58 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 91B28 62L15 60J25 60G40 62P05 PDF BibTeX XML Cite \textit{H. Jönsson} et al., Teor. Ĭmovirn. Mat. Stat. 72, 42--53 (2005; Zbl 1102.91048) Full Text: Link
Sil’vestrov, D. S.; Drozdenko, M. O. Necessary and sufficient conditions for the weak convergence of first-rare-event times for semi-Markov processes. (Ukrainian. English summary) Zbl 1088.60088 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 11, 25-28 (2005). MSC: 60K15 60K30 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{M. O. Drozdenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 11, 25--28 (2005; Zbl 1088.60088)
Jönsson, H.; Kukush, A. G.; Silvestrov, D. S. Threshold structure of optimal stopping strategies for American type option. I. (English) Zbl 1101.91040 Teor. Jmovirn. Mat. Stat. 71, 82-92 (2004) and Theory Probab. Math. Stat. 71, 93-103 (2005). Reviewer: A. D. Borisenko (Kyïv) MSC: 91B28 60G40 62L15 62P05 60J25 PDF BibTeX XML Cite \textit{H. Jönsson} et al., Teor. Ĭmovirn. Mat. Stat. 71, 82--92 (2004; Zbl 1101.91040) Full Text: Link
Jönsson, H.; Kukush, A. G.; Silvestrov, D. S. Threshold structure of optimal stopping domains for American type options. (English) Zbl 1025.91011 Theory Stoch. Process. 8(24), No. 1-2, 169-176 (2002). Reviewer: A.D.Borisenko (Kyïv) MSC: 91B28 PDF BibTeX XML Cite \textit{H. Jönsson} et al., Theory Stoch. Process. 8(24), No. 1--2, 169--176 (2002; Zbl 1025.91011)
Silvestrov, D. S. The perturbed renewal equation and diffusion type approximation for risk processes. (English. Ukrainian original) Zbl 1004.60086 Theory Probab. Math. Stat. 62, 145-156 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 134-144 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60K05 91B30 60K30 PDF BibTeX XML Cite \textit{D. S. Silvestrov}, Teor. Ĭmovirn. Mat. Stat. 62, 134--144 (2000; Zbl 1004.60086); translation from Teor. Jmovirn. Mat. Stat. 62, 134--144 (2000)
Silvestrov, D. S.; Silvestrova, E. D. An outline of master education programme in actuarial and financial mathematics. (English) Zbl 0940.00502 Theory Stoch. Process. 5(21), No. 1-2, 188-195 (1999). Reviewer: A.D.Borisenko (Kyïv) MSC: 00A35 97D30 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{E. D. Silvestrova}, Theory Stoch. Process. 5(21), No. 1--2, 188--195 (1999; Zbl 0940.00502)
Silvestrov, D. S.; Teugels, L. J. Asymptotics of multivariate extremes with random sample size. (English) Zbl 0933.60004 Stud. Sci. Math. Hung. 34, No. 1-3, 391-400 (1998). MSC: 60F05 26A12 60G70 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{L. J. Teugels}, Stud. Sci. Math. Hung. 34, No. 1--3, 391--400 (1998; Zbl 0933.60004)
Dorogovtsev, A. Ya.; Silvestrov, D. S.; Skorokhod, A. V.; Yadrenko, M. I. Probability theory: collection of problems. Transl. from the Russian by O. I. Klesov and V. A. Kotov. (English) Zbl 0880.60001 Translations of Mathematical Monographs. 163. Providence, RI: American Mathematical Society (AMS). xi, 347 p. (1997). Reviewer: H.Daduna (Hamburg) MSC: 60-01 00A07 PDF BibTeX XML Cite \textit{A. Ya. Dorogovtsev} et al., Probability theory: collection of problems. Transl. from the Russian by O. I. Klesov and V. A. Kotov. Providence, RI: American Mathematical Society (1997; Zbl 0880.60001)
Silvestrov, D. S. Exponential asymptotic for a perturbed renewal equation. (English. Ukrainian original) Zbl 0946.60080 Theory Probab. Math. Stat. 52, 153-162 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 143-153 (1995). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60K05 60F17 60K15 PDF BibTeX XML Cite \textit{D. S. Silvestrov}, Teor. Ĭmovirn. Mat. Stat. 52, 143--153 (1995; Zbl 0946.60080); translation from Teor. Jmovirn. Mat. Stat. 52, 143--153 (1995)
Silvestrov, D. S.; Silvestrova, E. D. Elsevier’s dictionary of statistical terminology. English-Russian and Russian-English. With the collab. of Gunnar Kulldorff. (English, Russian) Zbl 0856.62001 Amsterdam: Elsevier. 496 p. (1995). MSC: 62-00 60-00 00A20 PDF BibTeX XML Cite \textit{D. S. Silvestrov} and \textit{E. D. Silvestrova}, Elsevier's dictionary of statistical terminology. English-Russian and Russian-English. With the collab. of Gunnar Kulldorff (Russian). Amsterdam: Elsevier (1995; Zbl 0856.62001)
Velikij, Yu. A.; Motsa, A. I.; Sil’vestrov, D. S. Dual processes and ergodic type theorems for Markov chains in the scheme of series. (English. Russian original) Zbl 0847.60059 Theory Probab. Appl. 39, No. 4, 642-653 (1994); translation from Teor. Veroyatn. Primen. 39, No. 4, 716-730 (1994). Reviewer: R.Grübel (Hannover) MSC: 60J99 60F15 60J35 60J10 PDF BibTeX XML Cite \textit{Yu. A. Velikij} et al., Teor. Veroyatn. Primen. 39, No. 4, 716--730 (1994; Zbl 0847.60059); translation from Teor. Veroyatn. Primen. 39, No. 4, 716--730 (1994)
Sil’vestrov, D. S.; Abadov, Z. A. Uniform representations of exponential moments of sums of random variables defined on a Markov chain, and of distributions of passage times. II. (English. Ukrainian original) Zbl 0842.60045 Theory Probab. Math. Stat. 48, 125-130 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 175-183 (1993). MSC: 60G50 60J05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{Z. A. Abadov}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0842.60045); translation from Teor. Jmovirn. Mat. Stat. 48, 175--183 (1993)
Sil’vestrov, D. S.; Abadov, Z. A. Uniform representations of exponential moments of sums of random variables defined on a Markov chain, and of distributions of passage times. I. (English. Russian original) Zbl 0834.60085 Theory Probab. Math. Stat. 45, 105-120 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 108-127 (1991). MSC: 60J27 60G50 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{Z. A. Abadov}, Theory Probab. Math. Stat. 45, 1 (1991; Zbl 0834.60085); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 108--127 (1991)
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 PDF BibTeX 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 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Teor. Veroyatn. Primen. 36, No. 3, 505--520 (1991; Zbl 0748.60089)
Didkovskij, I. R.; Sil’vestrov, D. S. Limit theorems for integral-type functionals of homogeneous Markov processes in a series scheme. (English. Russian original) Zbl 0708.60080 Theory Probab. Math. Stat. 41, 41-48 (1990); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 36-43 (1989). Reviewer: O.K.Zakusilo MSC: 60J99 60F17 PDF BibTeX XML Cite \textit{I. R. Didkovskij} and \textit{D. S. Sil'vestrov}, Theory Probab. Math. Stat. 41, 41--48 (1990; Zbl 0708.60080); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 36--43 (1989)
Sil’vestrov, D. S.; Brusilovskij, I. L. An invariance principle for sums of stationary sequences of random variables with uniform strong mixing with a weight. (English. Russian original) Zbl 0702.60037 Theory Probab. Math. Stat. 40, 117-127 (1990); translation from Teor. Veroyatn. Mat. Stat., Kiev 40, 99-107 (1989). Reviewer: J.Anděl MSC: 60G10 60F05 28D99 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{I. L. Brusilovskij}, Theory Probab. Math. Stat. 40, 117--127 (1990; Zbl 0702.60037); translation from Teor. Veroyatn. Mat. Stat., Kiev 40, 99--107 (1989)
Sil’vestrov, D. S. On conditions of convergence in the J-topology for accumulation processes with semi-Markov switchings. (Russian. English summary) Zbl 0701.60087 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 1, 40-42 (1990). Reviewer: L.Lakatos MSC: 60K15 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 1, 40--42 (1990; Zbl 0701.60087)
Didkovskij, I. R.; Sil’vestrov, D. S.; Motsa, A. I. A characterization theorem and a limit theorem for level attainment processes. (English. Russian original) Zbl 0697.60027 Theory Probab. Math. Stat. 39, 47-54 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 39-47 (1988). MSC: 60F05 60G17 PDF BibTeX XML Cite \textit{I. R. Didkovskij} et al., Theory Probab. Math. Stat. 39, 47--54 (1989; Zbl 0697.60027); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 39--47 (1988)
Sil’vestrov, D. S.; Velikij, Yu. A. Necessary and sufficient conditions of convergence for moments of attainments. (Russian) Zbl 0799.60063 Zolotarev, V. M. (ed.) et al., Stability problems of stochastic models. Seminar proceedings, Sukhumi (USSR), October 1987. Moskva: Vsesoyuznyj Nauchno-Issledovatel’skij Institut Sistemnykh Issledovanij, Probl. Ustojch. Stokhasticheskikh Modelej, Tr. Semin. 129-137 (1988). MSC: 60G50 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{Yu. A. Velikij}, in: Problemy ustojchivosti stokhasticheskikh modelej. Trudy seminara, Sukhumi/CCCP, oktyabr' 1987. Moskva: Vsesoyuznyj Nauchno-Issledovatel'skij Institut Sistemnykh Issledovanij. 129--137 (1988; Zbl 0799.60063)
Sil’vestrov, D. S.; Pieżyńska, G. On maximally coinciding random variables. (English. Russian original) Zbl 0626.60022 Theory Probab. Math. Stat. 32, 113-115 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 102-104 (1985). MSC: 60E05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{G. Pieżyńska}, Theory Probab. Math. Stat. 32, 113--115 (1986; Zbl 0626.60022); translation from Teor. Veroyatn. Mat. Stat. 32, 102--104 (1985)
Brusilovskij, I. L.; Sil’vestrov, D. S. A new type of mixing coefficients and the invariance principle for sums of stationary bounded random variables. (Russian. English summary) Zbl 0613.60014 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1986, No. 7, 7-9 (1986). MSC: 60F05 60G10 60G50 PDF BibTeX XML Cite \textit{I. L. Brusilovskij} and \textit{D. S. Sil'vestrov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1986, No. 7, 7--9 (1986; Zbl 0613.60014)
Korolyuk, D. V.; Sil’vestrov, D. S. Entry times into asymptotically receding regions for processes with semi- Markov switchings. (English. Russian original) Zbl 0568.60082 Theory Probab. Appl. 29, 558-563 (1985); translation from Teor. Veroyatn. Primen. 29, No. 3, 539-544 (1984). Reviewer: B.P.Kharlamov MSC: 60K15 PDF BibTeX XML Cite \textit{D. V. Korolyuk} and \textit{D. S. Sil'vestrov}, Theory Probab. Appl. 29, 558--563 (1985; Zbl 0568.60082); translation from Teor. Veroyatn. Primen. 29, No. 3, 539--544 (1984) Full Text: DOI
Silvestrov, D. S.; Pezhinska, G. Explicit estimates of the convergence rate in ergodic theorems for stochastic processes with semi-Markov switchings. (Russian) Zbl 0603.60086 Stochastic analysis and asymptotic problems of probability theory and mathematical statistics, Collect. Artic., Tbilisi 1984, 72-78 (1984). Reviewer: V.V.Kalashnikov MSC: 60K15 60F15 PDF BibTeX XML
Sil’vestrov, D. S. Method of a certain probability space in ergodic theorems for regenerative processes. III. (Russian. English, German summaries) Zbl 0551.60091 Math. Operationsforsch. Stat., Ser. Optimization 15, 613-622 (1984). MSC: 60K05 60F05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Math. Operationsforsch. Stat., Ser. Optimization 15, 613--622 (1984; Zbl 0551.60091) Full Text: DOI
Sil’vestrov, D. S. Method of a certain probability space in ergodic theorems for regenerative processes. II. (Russian. English, German summaries) Zbl 0551.60090 Math. Operationsforsch. Stat., Ser. Optimization 15, 601-612 (1984). MSC: 60K05 60F05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Math. Operationsforsch. Stat., Ser. Optimization 15, 601--612 (1984; Zbl 0551.60090) Full Text: DOI
Kaplan, E. I.; Motsa, A. I.; Sil’vestrov, D. S. Limit theorems for additive functionals defined on asymptotically recurrent Markov chains. II. (English. Russian original) Zbl 0539.60070 Theory Probab. Math. Stat. 28, 35-43 (1984); translation from Teor. Veroyatn. Mat. Stat. 28, 31-40 (1983). Reviewer: B.P.Kharlamov MSC: 60G50 60J99 60E10 PDF BibTeX XML Cite \textit{E. I. Kaplan} et al., Theory Probab. Math. Stat. 28, 35--43 (1984; Zbl 0539.60070); translation from Teor. Veroyatn. Mat. Stat. 28, 31--40 (1983)
Sil’vestrov, D. S.; Abadov, Z. A. Asymptotics for exponential moments of sums of random values determined on exponentially ergodic Markov chains. (Russian. English summary) Zbl 0535.60056 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 4, 23-25 (1984). MSC: 60J10 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{Z. A. Abadov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 4, 23--25 (1984; Zbl 0535.60056)
Korolyuk, D. V.; Sil’vestrov, D. S. Entry times into asymptotically receding domains for ergodic Markov chains. (English) Zbl 0533.60079 Theory Probab. Appl. 28, 432-442 (1984). MSC: 60J05 60F05 PDF BibTeX XML Cite \textit{D. V. Korolyuk} and \textit{D. S. Sil'vestrov}, Theory Probab. Appl. 28, 432--442 (1984; Zbl 0533.60079) Full Text: DOI
Sil’vestrov, D. S. Resolvent conditions of uniform mixing and stability of frequency characteristics for reflexive Markov chains with an arbitrary phase space. (Russian. English summary) Zbl 0539.60066 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 10, 18-21 (1983). Reviewer: S.Grigorescu MSC: 60J10 60J35 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 10, 18--21 (1983; Zbl 0539.60066)
Sil’vestrov, D. S. Invariance principle for the processes with semi-Markov switch-overs with an arbitrary state space. (English) Zbl 0535.60083 Probability theory and mathematical statistics, Proc. 4th USSR - Jap. Symp., Tbilisi/USSR 1982, Lect. Notes Math. 1021, 617-628 (1983). Reviewer: T.Inglot MSC: 60K15 60F17 60J10 PDF BibTeX XML
Sil’vestrov, D. S. Method of a certain probability space in ergodic theorems for regenerative processes. I. (Russian. English, German summaries) Zbl 0534.60078 Math. Operationsforsch. Stat., Ser. Optimization 14, 285-299 (1983). MSC: 60K05 60E99 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Math. Operationsforsch. Stat., Ser. Optimization 14, 285--299 (1983; Zbl 0534.60078) Full Text: DOI
Kaplan, E. I.; Motsa, A. I.; Sil’vestrov, D. S. Limit theorems for additive functionals defined on asymptotically recurrent Markov chains. I. (English) Zbl 0522.60077 Theory Probab. Math. Stat. 27, 39-54 (1983). MSC: 60J27 60F17 60E07 60J05 60J55 60G17 PDF BibTeX XML Cite \textit{E. I. Kaplan} et al., Theory Probab. Math. Stat. 27, 39--54 (1983; Zbl 0522.60077)
Sil’vestrov, D. S.; Khusanbaev, Ya. M. General limit theorems for random processes with conditionally independent increments. (English) Zbl 0521.60027 Theory Probab. Math. Stat. 27, 147-155 (1983). MSC: 60F05 60J99 60G17 60F17 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{Ya. M. Khusanbaev}, Theory Probab. Math. Stat. 27, 147--155 (1983; Zbl 0521.60027)
Korolyuk, D. V.; Sil’vestrov, D. S. The moments of the first entrance into asymptotically retiring domains for ergodic Markov chains. (Russian) Zbl 0513.60065 Teor. Veroyatn. Primen. 28, No. 2, 410-420 (1983). MSC: 60J05 60F05 PDF BibTeX XML Cite \textit{D. V. Korolyuk} and \textit{D. S. Sil'vestrov}, Teor. Veroyatn. Primen. 28, No. 2, 410--420 (1983; Zbl 0513.60065)
Sil’vestrov, D. S. Theorems of large deviation type for entry times of a sequence with mixing. (English) Zbl 0504.60030 Theory Probab. Math. Stat. 24, 145-151 (1982). MSC: 60F10 28D99 60J27 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Math. Stat. 24, 145--151 (1982; Zbl 0504.60030)
Kaplan, E. I.; Motsa, A. I.; Sil’vestrov, D. S. Limit theorems for additive functionals defined on asymptotically reciprocal Markov chains. I. (Russian) Zbl 0499.60072 Teor. Veroyatn. Mat. Stat. 27, 34-51 (1982). MSC: 60J05 60J55 60B10 PDF BibTeX XML
Sil’vestrov, D. S.; Khusanbaev, Ya. M. General limit theorems for stochastic processes with conditionally independent increments. (Russian) Zbl 0494.60037 Teor. Veroyatn. Mat. Stat. 27, 130-139 (1982). MSC: 60F17 60J99 PDF BibTeX XML
Kaplan, E. I.; Sil’vestrov, D. S. General limit theorems for sums of controlled random variables with arbitrary state space of the controlling sequence. (English) Zbl 0479.60042 Lith. Math. J. 20, 286-293 (1981). MSC: 60F17 93E20 PDF BibTeX XML Cite \textit{E. I. Kaplan} and \textit{D. S. Sil'vestrov}, Lith. Math. J. 20, 286--293 (1981; Zbl 0479.60042) Full Text: DOI
Sil’vestrov, D. S.; Banakh, D. Uniform ergodic theorems on the average for accumulation processes. (Ukrainian) Zbl 0474.60077 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 2, 34-37 (1981). MSC: 60K20 60K10 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{D. Banakh}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 2, 34--37 (1981; Zbl 0474.60077)
Sil’vestrov, D. S. Theorems of the large deviation type for moments of entrance for sequences with intermixing. (Russian) Zbl 0471.60033 Teor. Veroyatn. Mat. Stat. 24, 129-135 (1981). MSC: 60F10 PDF BibTeX XML
Sil’vestrov, D. S.; Pezhinska, G. Explicit formulae for functionals of the type of the Levy-Prokhorov metric for distributions in metric spaces. (Ukrainian) Zbl 0461.60017 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 3, 18-20 (1981). MSC: 60B05 60E99 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{G. Pezhinska}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1981, No. 3, 18--20 (1981; Zbl 0461.60017)
Sil’vestrov, D. S. Remarks on the strong law of large numbers for accumulation processes. (English) Zbl 0459.60029 Theory Probab. Math. Stat. 22, 131-143 (1981). MSC: 60F15 60G50 60G10 60J10 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Math. Stat. 22, 131--143 (1981; Zbl 0459.60029)
Sil’vestrov, D. S. The renewal theorem in a series scheme. II. (English) Zbl 0487.60070 Theory Probab. Math. Stat. 20, 113-130 (1980). MSC: 60K05 60E05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Math. Stat. 20, 113--130 (1980; Zbl 0487.60070)
Sil’vestrov, D. S.; Tursunov, G. T. General limit theorems for sums of controlled random variables. II. (English) Zbl 0486.60025 Theory Probab. Math. Stat. 20, 131-141 (1980). MSC: 60F05 60K15 60J10 60G50 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{G. T. Tursunov}, Theory Probab. Math. Stat. 20, 131--141 (1980; Zbl 0486.60025)
Sil’vestrov, D. S. Mean hitting times of semi-Markov processes and queueing networks. (Russian) Zbl 0474.60076 Elektron. Inform.-verarb. Kybernetik 16, 399-415 (1980). MSC: 60K20 60K15 65C20 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Elektron. Informationsverarbeitung Kybernetik 16, 399--415 (1980; Zbl 0474.60076)
Kaplan, E. I.; Sil’vestrov, D. S. General limit theorems for sums of controlled random variables with an arbitrary phase space of the controlling sequence. (Russian) Zbl 0465.60040 Litov. Mat. Sb. 20, No. 4, 61-72 (1980). MSC: 60F17 93E20 PDF BibTeX XML Cite \textit{E. I. Kaplan} and \textit{D. S. Sil'vestrov}, Litov. Mat. Sb. 20, No. 4, 61--72 (1980; Zbl 0465.60040)
Sil’vestrov, D. S. Exponential bounds in ergodic theorems for regenerative processes. (Russian) Zbl 0458.60084 Elektron. Inform.-verarb. Kybernetik 16, 461-463 (1980). MSC: 60K15 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Elektron. Informationsverarbeitung Kybernetik 16, 461--463 (1980; Zbl 0458.60084)
Kaplan, E. I.; Sil’vestrov, D. S. Theorems of the invariance principle type for recurrent semi-Markov processes with arbitrary phase space. (English) Zbl 0435.60032 Theory Probab. Appl. 24, 536-547 (1980). MSC: 60F17 60K15 PDF BibTeX XML Cite \textit{E. I. Kaplan} and \textit{D. S. Sil'vestrov}, Theory Probab. Appl. 24, 536--547 (1980; Zbl 0435.60032) Full Text: DOI
Silvestrov, D. S. Remarks about strong law of large numbers for processes of accumulation. (Russian) Zbl 0425.60023 Teor. Veroyatn. Mat. Stat. 22, 118-130 (1980). MSC: 60F15 60G99 PDF BibTeX XML
Sil’vestrov, D. S. The renewal theorem in a series scheme. I. (English) Zbl 0434.60089 Theory Probab. Math. Stat. 18, 155-172 (1979). MSC: 60K05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Math. Stat. 18, 155--172 (1979; Zbl 0434.60089)
Sil’vestrov, D. S.; Tursunov, G. T. General limit theorems for sums of controlled random variables. I. (English) Zbl 0434.60025 Theory Probab. Math. Stat. 17, 131-146 (1979). MSC: 60F05 60J10 60G50 60J27 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{G. T. Tursunov}, Theory Probab. Math. Stat. 17, 131--146 (1979; Zbl 0434.60025)
Mishura, Yu. S.; Sil’vestrov, D. S. A remark on the iterated weak limit of the superposition of random functions. (English) Zbl 0434.60024 Theory Probab. Math. Stat. 18, 109-114 (1979). MSC: 60F05 60G99 PDF BibTeX XML Cite \textit{Yu. S. Mishura} and \textit{D. S. Sil'vestrov}, Theory Probab. Math. Stat. 18, 109--114 (1979; Zbl 0434.60024)
Sil’vestrov, D. S. Remarks on the weak limit of the superposition of asymptotically independent random functions. (English) Zbl 0434.60023 Theory Probab. Appl. 24, 151-156 (1979). MSC: 60F05 60B10 60G07 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Appl. 24, 151--156 (1979; Zbl 0434.60023) Full Text: DOI
Silvestrov, D. S. The renewal theorem in the scheme of series. II. (Russian) Zbl 0431.60084 Teor. Veroyatn. Mat. Stat. 20, 97-117 (1979). MSC: 60K05 60E05 PDF BibTeX XML
Silvestrov, D. S. A remark on limit distributions for reaching moments for asymptotically recurrent Markov chains. (Russian) Zbl 0423.60024 Teor. Sluch. Protsess. 7, 106-109 (1979). MSC: 60F05 60J05 60J99 PDF BibTeX XML Cite \textit{D. S. Silvestrov}, Teor. Sluch. Protsess. 7, 106--109 (1979; Zbl 0423.60024)
Kaplan, E. I.; Sil’vestrov, D. S. The theorems of the invariance principle type for semi-Markov processes with an arbitrary set of states. (Russian) Zbl 0419.60084 Analytical Methods in Probability Theory, Collect. Sci. Works, Kiev 1979, 121-125 (1979). MSC: 60K15 60F17 60J65 60J99 60E07 PDF BibTeX XML
Kaplan, E. I.; Sil’vestrov, D. S. The invariance principle type theorems for recurrent semi-Markov processes with a general state space. (Russian) Zbl 0408.60031 Teor. Veroyatn. Primen. 24, 529-541 (1979). MSC: 60F17 60K15 PDF BibTeX XML Cite \textit{E. I. Kaplan} and \textit{D. S. Sil'vestrov}, Teor. Veroyatn. Primen. 24, 529--541 (1979; Zbl 0408.60031)
Silvestrov, D. S.; Tursunov, G. T. General limit theorems for sums of controlled random variables. II. (Russian) Zbl 0407.60073 Teor. Veroyatn. Mat. Stat. 20, 116-126 (1979). MSC: 60J10 60F99 60G50 60K15 PDF BibTeX XML
Sil’vestrov, D. S. Remarks on the weak limit of the superposition of asymptotically independent random functions. (Russian) Zbl 0396.60006 Teor. Veroyatn. Primen. 24, 150-155 (1979). MSC: 60B10 60G07 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Teor. Veroyatn. Primen. 24, 150--155 (1979; Zbl 0396.60006)
Silvestrov, D. S. The renewal theorem in the scheme of series. I. (Russian) Zbl 0415.60080 Teor. Veroyatn. Mat. Stat. 18, 144-164 (1978). MSC: 60K05 60E05 PDF BibTeX XML
Misura, Ju. S.; Silvestrov, D. S. A remark about repeated weak limit of the superposition of stochastic functions. (Russian) Zbl 0407.60029 Teor. Veroyatn. Mat. Stat. 18, 101-105 (1978). MSC: 60F99 60G07 PDF BibTeX XML
Sil’vestrov, D. S.; Mirzakhmedov, M. A.; Tursunov, G. T. On applications of limit theorems for composite random functions to some problems in statistics. (English) Zbl 0435.62043 Theory Probab. Math. Stat. 14, 133-146 (1977). MSC: 62G05 62F10 62E20 62G15 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} et al., Theory Probab. Math. Stat. 14, 133--146 (1977; Zbl 0435.62043)
Silvestrov, D. S.; Tursunov, G. T. General limit theorems for sums of controlled random variables. I. (Russian) Zbl 0407.60072 Teor. Veroyatn. Mat. Stat. 17, 120-134 (1977). MSC: 60J10 60F99 60G50 PDF BibTeX XML
Sil’vestrov, D. S. Maximales coinciding random values with given distributions. (Ukrainian) Zbl 0368.60020 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 16-19 (1977). MSC: 60E05 60A05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 16--19 (1977; Zbl 0368.60020)
Sil’vestrov, D. S. Limit theorems for semi-Markov processes with a countable set of states. (English) Zbl 0363.60085 Theor. Probab. math. Statist. 8(1973, 1975), 145-157 (1977). MSC: 60K15 60F05 PDF BibTeX XML
Sil’vestrov, D. S. The convergence conditions in I-topology of randomly stopped processes of Markov’s type. (Ukrainian) Zbl 0359.60045 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 697-698 (1977). MSC: 60G40 60J25 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 697--698 (1977; Zbl 0359.60045)
Sil’vestrov, D. S. On convergence of weakly dependent processes in the uniform topology. II. (English) Zbl 0358.60012 Theor. Probab. math. Statist. 7, (1972, 1975), 125-137 (1977). MSC: 60B10 60J60 60K15 PDF BibTeX XML
Sil’vestrov, D. S.; Mirzakhmedov, M. A.; Tursunov, G. T. On applications of limit theorems for superposition of random functions to some problems of statistics. (Russian) Zbl 0406.62025 Teor. Veroyatn. Mat. Stat. 14, 124-137 (1976). MSC: 62G05 62M99 PDF BibTeX XML
Sil’vestrov, D. S.; Tursunov, G. T. Einige Grenzsätze für Massenbedienungssysteme M/G/1. (Russian) Zbl 0374.60124 Dokl. Akad. Nauk UzSSR 1976, No. 6, 10-12 (1976). MSC: 60K25 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{G. T. Tursunov}, Dokl. Akad. Nauk UzSSR 1976, No. 6, 10--12 (1976; Zbl 0374.60124)
Sil’vestrov, D. S. On a generalization of the renewal theorem. (Ukrainian) Zbl 0357.60009 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1976, 978-981 (1976). MSC: 60K05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1976, 978--981 (1976; Zbl 0357.60009)
Sil’vestrov, D. S. Limit theorems for semi-Markov summation schemes. I. (English) Zbl 0348.60123 Theor. Probab. math. Statist. 4 (1971, 1974), 141-157 (1976). MSC: 60K15 PDF BibTeX XML
Sil’vestrov, D. S. Uniform estimates of the rate of convergence for sums of random variables defined on a finite homogeneous Markov chain with absorption. (English) Zbl 0348.60023 Theor. Probab. Math. Stat. 5 (1971, 1975), 123-135 (1976). MSC: 60F05 60J10 PDF BibTeX XML
Sil’vestrov, D. S. On convergence of weakly dependent processes in the uniform topology. I. (English) Zbl 0344.60009 Theor. Probab. math. Statist. 6(1972, 1975), 109-118 (1976). MSC: 60B10 PDF BibTeX XML
Sil’vestrov, D. S.; Tursunov, G. T. General conditions of convergence of sums of controlled random values. (Ukrainian) Zbl 0337.60012 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1976, 782-785 (1976). MSC: 60B10 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{G. T. Tursunov}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1976, 782--785 (1976; Zbl 0337.60012)
Sil’vestrov, D. S.; Mil’osina, R. I. Limit theorems for functionals of integral form from the Wiener process controlled by a Markov chain. (Ukrainian) Zbl 0328.60044 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1976, 117-122 (1976). MSC: 60J65 60F05 60J10 93E20 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{R. I. Mil'osina}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1976, 117--122 (1976; Zbl 0328.60044)
Sil’vestrov, D. S. Letter to the editor. (English. Russian original) Zbl 0368.60008 Math. Notes 18(1975), 671 (1976); translation from Mat. Zametki 18, 151 (1975). MSC: 60B05 60F05 PDF BibTeX XML Full Text: DOI
Sil’vestrov, D. S. Limit theorems for semi-Markov processes, and their applications. I., II. (English) Zbl 0352.60068 Theor. Probab. math. Statist. 3 (1970, 1974), 159-176, 177-198 (1975). MSC: 60K15 60F05 60J60 PDF BibTeX XML
Sil’vestrov, D. S.; Polescuk, V. S. On cyclic conditions of convergence of the sums of random values determined on recurrent Markov’s chain. (Ukrainian) Zbl 0326.60080 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 790-792 (1975). MSC: 60J10 60E05 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov} and \textit{V. S. Polescuk}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 790--792 (1975; Zbl 0326.60080)
Sil’vestrov, D. S. Limit theorems for a continuous random walk on a half-line controlled by a Markov process with two states, in a series scheme. II. (English) Zbl 0293.60067 Theor. Probab. math. Statist. 2(1970), 169-174 (1974). MSC: 60G50 60F05 60J25 60J99 PDF BibTeX XML
Sil’vestrov, D. S. Limit theorems for a discrete random walk on a half-line, controlled by a Markov chain. II. (English) Zbl 0293.60066 Theor. Probab. math. Statist. 2(1970), 161-168 (1974). MSC: 60G50 60F05 60J99 PDF BibTeX XML
Sil’vestrov, D. S. Limit theorems for a continuous random walk on a half-line controlled by a Markov process with two states in a series scheme. I. (English) Zbl 0287.60075 Theor. Probab. math. Statist. 1(1970), 205-214 (1974). MSC: 60G50 60F05 60J99 60F99 PDF BibTeX XML
Sil’vestrov, D. S. Limit theorems for a discrete random walk on a half-line controlled by a Markov chain. I. (English) Zbl 0287.60074 Theor. Probab. math. Statist. 1(1970), 191-203 (1974). MSC: 60G50 60F05 60J99 PDF BibTeX XML
Sil’vestrov, D. S. Conditions for convergence of the superposition of random processes in the J-topology. (English. Russian original) Zbl 0298.60018 Theory Probab. Appl. 18, 579-582 (1973); translation from Teor. Veroyatn. Primen. 18, 605-608 (1973). MSC: 60F05 60B10 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Appl. 18, 579--582 (1973; Zbl 0298.60018); translation from Teor. Veroyatn. Primen. 18, 605--608 (1973) Full Text: DOI
Sil’vestrov, D. S. Über die Konvergenz von Zufallsfeldern, die in einem zufälligen Punkt angehalten sind. (Russian) Zbl 0282.60025 Slucainye Processy statist. Vyvody 3, 165-169 (1973). MSC: 60G20 60G15 60B10 PDF BibTeX XML
Sil’vestrov, D. S. Grenzwertsätze für semi-markovsche Prozesse mit abzählbar vielen Zuständen. (Russian) Zbl 0274.60063 Teor. Veroyatn. Mat. Stat. 8, 145-157 (1973). MSC: 60K15 60F05 PDF BibTeX XML
Sil’vestrov, D. S. Über die Konvergenz schwach abhängiger Prozesse in der uniformen Topologie. II. (Russian) Zbl 0299.60005 Teor. Veroyatn. Mat. Stat. 7, 132-145 (1972). MSC: 60B10 60J60 60K15 PDF BibTeX XML
Sil’vestrov, D. S. Über die Konvergenz schwach abhängiger Prozesse in der uniformen Topologie. I. (Russian) Zbl 0299.60004 Teor. Veroyatn. Mat. Stat. 6, 109-117 (1972). MSC: 60B10 PDF BibTeX XML
Sil’vestrov, D. S. Remarks on the limit of a composite random function. (English. Russian original) Zbl 0289.60019 Theory Probab. Appl. 17, 669-677 (1972); translation from Teor. Veroyatn. Primen. 17, 707-715 (1972). MSC: 60G05 60F99 PDF BibTeX XML Cite \textit{D. S. Sil'vestrov}, Theory Probab. Appl. 17, 669--677 (1972; Zbl 0289.60019); translation from Teor. Veroyatn. Primen. 17, 707--715 (1972) Full Text: DOI