Rozora, Iryna; Mlavets, Yurii; Vasylyk, Olga; Polishchuk, Volodymyr On convergence of the uniform norm and approximation for stochastic processes from the space \(\mathbf{F}_\psi (\Omega)\). (English) Zbl 1540.60057 J. Theor. Probab. 37, No. 2, 1627-1653 (2024). MSC: 60G07 65C20 PDFBibTeX XMLCite \textit{I. Rozora} et al., J. Theor. Probab. 37, No. 2, 1627--1653 (2024; Zbl 1540.60057) Full Text: DOI
Hopkalo, O. M.; Sakhno, L. M.; Vasylyk, O. I. Properties of solutions to linear KdV equations with \(\varphi\)-sub-Gaussian initial conditions. (English) Zbl 1513.35475 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2022, No. 2, 11-19 (2022). MSC: 35Q53 60G15 PDFBibTeX XMLCite \textit{O. M. Hopkalo} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2022, No. 2, 11--19 (2022; Zbl 1513.35475) Full Text: DOI OA License
Sakhno, L. M.; Vasylyk, O. I. Investigation of solutions to higher-order dispersive equations with \(\varphi\)-sub-Gaussian initial conditions. (English) Zbl 1488.60079 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 78-84 (2021). MSC: 60G12 35K58 35R60 PDFBibTeX XMLCite \textit{L. M. Sakhno} and \textit{O. I. Vasylyk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 78--84 (2021; Zbl 1488.60079) Full Text: DOI OA License
Vasylyk, O. I.; Rozora, I. V.; Ianevych, T. O.; Lovyts’ka, I. I. On some method on model construction for strictly \(\varphi\)-sub-Gaussian generalized fractional Brownian motion. (Ukrainian. English summary) Zbl 1488.60075 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 18-25 (2021). MSC: 60G07 60G17 60G70 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 18--25 (2021; Zbl 1488.60075) Full Text: DOI OA License
Vasylyk, O. I.; Lovyts’ka, I. I. Simulation of a strictly \(\varphi\)-sub-Gaussian generalized fractional Brownian motion. (Ukrainian. English summary) Zbl 1488.60074 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 1, 11-19 (2021). MSC: 60G07 60G17 35R60 60E07 60G70 PDFBibTeX XMLCite \textit{O. I. Vasylyk} and \textit{I. I. Lovyts'ka}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 1, 11--19 (2021; Zbl 1488.60074) Full Text: DOI OA License
Pashko, A. A.; Rozora, I. V.; Vasylyk, O. I. Directions of scientific research Yu. V. Kozachenko: statistical simulation. (English. English summary) Zbl 07909321 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 37, No. 2, 15-25 (2020). MSC: 60G07 60G15 62E17 PDFBibTeX XMLCite \textit{A. A. Pashko} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 37, No. 2, 15--25 (2020; Zbl 07909321) Full Text: DOI
Vasylyk, O. I.; Yamnenko, R. Ye.; Yanevych, T. O. Estimation of probability of exceeding a curve by a strictly \(\varphi\)-sub-Gaussian quasishot noise process. (Ukrainian. English summary) Zbl 1474.60096 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 49-56 (2020). MSC: 60G07 60G17 60G70 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 49--56 (2020; Zbl 1474.60096) Full Text: DOI OA License
Vasylyk, O. I.; Mishura, Yu. S.; Moklyachuk, M. P.; Perestyuk, M. O.; Rozora, I. V.; Sakhno, L. M.; Yamnenko, R. Ye. Professor Yu. V. Kozachenko (01.12.1940–05.05.2020) – prominent scientist and teacher. (Ukrainian. English summary) Zbl 1474.01053 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 9-29 (2020). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 01A70 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 9--29 (2020; Zbl 1474.01053) Full Text: DOI OA License
Hopkalo, O. M.; Sakhno, L. M.; Vasylyk, O. I. Properties of \(\varphi\)-sub-Gaussian stochastic processes related to the heat equation with random initial conditions. (English) Zbl 1474.60093 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 1-2, 17-24 (2020). MSC: 60G07 60G17 35R60 60E07 60G70 PDFBibTeX XMLCite \textit{O. M. Hopkalo} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 1--2, 17--24 (2020; Zbl 1474.60093) Full Text: DOI OA License
Vasylyk, O. I. Properties of strictly \(\varphi \)-sub-Gaussian quasi-shot-noise processes. (English. Ukrainian original) Zbl 1455.60054 Theory Probab. Math. Stat. 101, 51-65 (2020); translation from Teor. Jmovirn. Mat. Stat. 101, 49-62 (2019). MSC: 60G07 60K25 60G15 60G99 PDFBibTeX XMLCite \textit{O. I. Vasylyk}, Theory Probab. Math. Stat. 101, 51--65 (2020; Zbl 1455.60054); translation from Teor. Jmovirn. Mat. Stat. 101, 49--62 (2019) Full Text: DOI
Kozachenko, Yuriy; Orsingher, Enzo; Sakhno, Lyudmyla; Vasylyk, Olga Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions. (English) Zbl 1434.35281 Mod. Stoch., Theory Appl. 7, No. 1, 79-96 (2020). MSC: 35R60 35G10 60G20 60G60 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Mod. Stoch., Theory Appl. 7, No. 1, 79--96 (2020; Zbl 1434.35281) Full Text: DOI arXiv
Vasylyk, O. I.; Hopkalo, O. M.; Kozachenko, Yu. V.; Sakhno, L. M. Some properties and estimates for \(\varphi\)-sub-Gaussian stochastic processes. (Ukrainian. English summary) Zbl 1463.60058 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 4, 18-22 (2019). MSC: 60G15 60G17 60E07 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 4, 18--22 (2019; Zbl 1463.60058) Full Text: DOI OA License
Vasylyk, O. I. Estimation of distribution of suprema of a strictly \(\varphi\)-sub-Gaussian quasi shot noise process. (Ukrainian. English summary) Zbl 1449.60075 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 2, 7-16 (2019). MSC: 60G15 60G22 60G51 62M15 PDFBibTeX XMLCite \textit{O. I. Vasylyk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2019, No. 2, 7--16 (2019; Zbl 1449.60075)
Pashko, A. O.; Vasylyk, O. I. Simulation of fractional Brownian motion basing on its spectral representation. (English) Zbl 1424.60050 Theory Stoch. Process. 23, No. 1, 73-81 (2018). MSC: 60G15 60G22 60G51 62M15 PDFBibTeX XMLCite \textit{A. O. Pashko} and \textit{O. I. Vasylyk}, Theory Stoch. Process. 23, No. 1, 73--81 (2018; Zbl 1424.60050) Full Text: Link
Kozachenko, Yu. V.; Pashko, A. O.; Vasylyk, O. I. Simulation of a fractional Brownian motion in the space \(L_p([0,T])\). (English. Ukrainian original) Zbl 1409.60054 Theory Probab. Math. Stat. 97, 99-111 (2018); translation from Teor. Jmovirn. Mat. Stat. 97, 97-108 (2017). MSC: 60G15 60G22 60G51 68U20 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} et al., Theory Probab. Math. Stat. 97, 99--111 (2018; Zbl 1409.60054); translation from Teor. Jmovirn. Mat. Stat. 97, 97--108 (2017) Full Text: DOI
Kozachenko, Yu.; Orsingher, E.; Sakhno, L.; Vasylyk, O. Estimates for functionals of solutions to higher-order heat-type equations with random initial conditions. (English) Zbl 1418.35325 J. Stat. Phys. 172, No. 6, 1641-1662 (2018). MSC: 35Q53 35K58 35R11 35R60 60G12 PDFBibTeX XMLCite \textit{Yu. Kozachenko} et al., J. Stat. Phys. 172, No. 6, 1641--1662 (2018; Zbl 1418.35325) Full Text: DOI arXiv
Kozachenko, Yuriy; Pashko, Anatolii; Vasylyk, Olga Simulation of generalized fractional Brownian motion in \(C([0,T])\). (English) Zbl 1398.60057 Monte Carlo Methods Appl. 24, No. 3, 179-192 (2018). MSC: 60G15 60G22 60G51 65C05 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Monte Carlo Methods Appl. 24, No. 3, 179--192 (2018; Zbl 1398.60057) Full Text: DOI
Bohonova; Ju., T.; Vasylyk; B, V. Two-points problem for an evolutional first order equation in Banach space. arXiv:1007.0174 Preprint, arXiv:1007.0174 [math.NA] (2010). MSC: 65J10 65M12 65M15 46N20 46N40 47N20 47N40 BibTeX Cite \textit{Bohonova} et al., ``Two-points problem for an evolutional first order equation in Banach space'', Preprint, arXiv:1007.0174 [math.NA] (2010) Full Text: arXiv OA License
Vasylyk, O. I.; Kozachenko, Yu. V.; Yakovenko, T. O. Simulation of stationary random sequences. (Ukrainian. English summary) Zbl 1199.60125 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 1, 7-10 (2009). MSC: 60G15 60G10 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 1, 7--10 (2009; Zbl 1199.60125)
Vasylyk, O. I.; Kozachenko, Yu. V.; Yamnenko, R. E. \(\varphi\)-sub-Gaussian random processes. (\(\варпхи\)-субгауссові випадкові процеси.) (Ukrainian) Zbl 1224.60070 Kyïv: Vydavnycho-PoligrafichnyĭTsentr, KyïvskyĭUniversytet (ISBN 978-966-439-051-1). 231 p. (2008). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G07 60-02 60G17 PDFBibTeX XMLCite \textit{O. I. Vasylyk} et al., \(\варпхи\)-субгауссові випадкові процеси (Ukrainian). Kyïv: Vydavnycho-Poligrafichnyĭ\ Tsentr, Kyïvskyĭ\ Universytet (2008; Zbl 1224.60070)
Yamnenko, Rostyslav; Vasylyk, Olga Random process from the class \(V(\varphi,\psi)\): exceeding a curve. (English) Zbl 1164.60029 Theory Stoch. Process. 13, No. 29, Part 4, 219-232 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G20 60G18 60K25 PDFBibTeX XMLCite \textit{R. Yamnenko} and \textit{O. Vasylyk}, Theory Stoch. Process. 13(29), No. 4, 219--232 (2007; Zbl 1164.60029)
Yamnenko, R. E.; Vasylyk, O. I. Some properties of random Poisson sums with \(\phi\)-sub-Gaussian terms. (Ukrainian. English summary) Zbl 1164.60354 Prykl. Stat., Aktuarna Finans. Mat. 2007, No. 1, 133-148 (2007). MSC: 60G15 62P05 PDFBibTeX XMLCite \textit{R. E. Yamnenko} and \textit{O. I. Vasylyk}, Prykl. Stat., Aktuarna Finans. Mat. 2007, No. 1, 133--148 (2007; Zbl 1164.60354)
Kozachenko, Yuriy; Vasylyk, Olga Simulation of fractional Brownian motion with given reliability and accuracy in \(C([0,1])\). (English) Zbl 1141.60019 Theory Stoch. Process. 12, No. 28, Part 3-4, 55-62 (2006). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G18 60G15 PDFBibTeX XMLCite \textit{Y. Kozachenko} and \textit{O. Vasylyk}, Theory Stoch. Process. 12(28), No. 3--4, 55--62 (2006; Zbl 1141.60019)
Kozachenko, Yu. V.; Perestyuk, M. M.; Vasylyk, O. I. On uniform convergence of wavelet expansions of \(\varphi\)-sub-Gaussian random processes. (English) Zbl 1120.60036 Random Oper. Stoch. Equ. 14, No. 3, 209-232 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G15 60G05 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} et al., Random Oper. Stoch. Equ. 14, No. 3, 209--232 (2006; Zbl 1120.60036) Full Text: DOI
Vasylyk, Olga; Kozachenko, Yuriy; Yamnenko, Rostyslav Upper estimate of overrunning by \(\text{Sub}_{\varphi}(\Omega)\) random process the level specified by continuous function. (English) Zbl 1118.60025 Random Oper. Stoch. Equ. 13, No. 2, 111-128 (2005). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G07 60K25 PDFBibTeX XMLCite \textit{O. Vasylyk} et al., Random Oper. Stoch. Equ. 13, No. 2, 111--128 (2005; Zbl 1118.60025)
Kozachenko, Yuriy; Sottinen, Tommi; Vasylyk, Olga Simulation of weakly self-similar stationary increment \(\mathbf{Sub}_\varphi(\Omega)\)-processes: A series expansion approach. (English) Zbl 1082.60512 Methodol. Comput. Appl. Probab. 7, No. 3, 379-400 (2005). MSC: 60G18 60G15 68U20 33C10 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Methodol. Comput. Appl. Probab. 7, No. 3, 379--400 (2005; Zbl 1082.60512) Full Text: DOI
Kozachenko, Yurij V.; Vasylyk, Ol’ga I. Sample paths continuity and estimates of distributions of increments of separable stochastic processes from the class \(V(\varphi,\psi)\) defined on a compact set. (Ukrainian. English summary) Zbl 1064.60057 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 2, 45-50 (2004). MSC: 60G07 60G17 PDFBibTeX XMLCite \textit{Y. V. Kozachenko} and \textit{O. I. Vasylyk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 2, 45--50 (2004; Zbl 1064.60057)
Kozachenko, Yuriy; Vasylyk, Olga; Yamnenko, Rostislav On the probability of exceeding some curve by \(\varphi\)-subGaussian random process. (English) Zbl 1064.60064 Theory Stoch. Process. 9(25), No. 3-4, 70-80 (2003). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G15 60G07 60G18 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Theory Stoch. Process. 9(25), No. 3--4, 70--80 (2003; Zbl 1064.60064)
Kozachenko, Yu.; Vasylyk, O.; Sottinen, T. Path space large deviations of a large buffer with Gaussian input traffic. (English) Zbl 1037.60082 Queueing Syst. 42, No. 2, 113-129 (2002). MSC: 60K25 60F10 PDFBibTeX XMLCite \textit{Yu. Kozachenko} et al., Queueing Syst. 42, No. 2, 113--129 (2002; Zbl 1037.60082) Full Text: DOI
Kozachenko, Yu.; Sottinen, T.; Vasylyk, O. Self-similar processes with stationary increments from the space \(\text{SSub}_{\varphi}(\Omega)\). (Ukrainian, English) Zbl 1026.60037 Teor. Jmovirn. Mat. Stat. 65, 67-78 (2001); translation in Theory Probab. Math. Stat. 65, 77-88 (2002). MSC: 60G07 60G70 PDFBibTeX XMLCite \textit{Yu. Kozachenko} et al., Teor. Ĭmovirn. Mat. Stat. 65, 67--78 (2001; Zbl 1026.60037); translation in Theory Probab. Math. Stat. 65, 77--88 (2002)
Kozachenko, Yu. V.; Vasylyk, O. I. Stochastic processes of the classes \(V(\varphi,\psi)\). (English. Ukrainian original) Zbl 0990.60036 Theory Probab. Math. Stat. 63, 109-121 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 100-111 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G07 60G70 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{O. I. Vasylyk}, Teor. Ĭmovirn. Mat. Stat. 63, 100--111 (2000; Zbl 0990.60036); translation from Teor. Jmovirn. Mat. Stat. 63, 100--111 (2000)
Kozachenko, Yu. V.; Vasylyk, O. I. On the distribution of suprema of random processes from the space \(\text{Sub}_{\varphi}(\Omega)\). (Ukrainian. English summary) Zbl 0970.62033 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 6, 18-21 (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62G32 60G70 62G05 60G07 PDFBibTeX XMLCite \textit{Yu. V. Kozachenko} and \textit{O. I. Vasylyk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 6, 18--21 (2000; Zbl 0970.62033)
Vasylyk, O. Conditions for boundedness of the supremum of a stochastic process from the space \(\text{Sub}_{\varphi}(\Omega)\). (Ukrainian. English summary) Zbl 0956.60026 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 1998, No. 1, 8-11 (1998). Reviewer: O.O.Kurchenko (Kyïv) MSC: 60G07 60E15 PDFBibTeX XMLCite \textit{O. Vasylyk}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 1998, No. 1, 8--11 (1998; Zbl 0956.60026)