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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Yamnenko, Rostyslav E. A bound for norms in \(L_p(T)\) of deviations of \(\varphi\)-sub-Gaussian stochastic processes. (English) Zbl 1329.60088 Lith. Math. J. 55, No. 2, 291-300 (2015). MSC: 60F99 60F10 60F25 60G22 60G18 PDF BibTeX XML Cite \textit{R. E. Yamnenko}, Lith. Math. J. 55, No. 2, 291--300 (2015; Zbl 1329.60088) Full Text: DOI OpenURL
Dzyamko, V. J.; Yanevych, T. O. Convergence in probability of some random process expansions based on Legendre polynomials. (English) Zbl 1289.60060 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 4, 17-21 (2012). MSC: 60G07 PDF BibTeX XML Cite \textit{V. J. Dzyamko} and \textit{T. O. Yanevych}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2012, No. 4, 17--21 (2012; Zbl 1289.60060) OpenURL
Dovgaj, B. V. Generalized solutions of a hyperbolic equation with a \(\varphi\)-sub-Gaussian right hand side. (Ukrainian, English) Zbl 1224.60158 Teor. Jmovirn. Mat. Stat. 81, 25-30 (2009); translation in Theory Probab. Math. Stat. 81, 27-33 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60H15 35L20 35R60 PDF BibTeX XML Cite \textit{B. V. Dovgaj}, Teor. Ĭmovirn. Mat. Stat. 81, 25--30 (2009; Zbl 1224.60158); translation in Theory Probab. Math. Stat. 81, 27--33 (2010) Full Text: DOI OpenURL
Kozachenko, Yu. V.; Turchin, E. V. Conditions for the uniform convergence of expansions of \(\varphi\)-sub-Gaussian stochastic processes in function systems generated by wavelets. (Ukrainian, English) Zbl 1224.60069 Teor. Jmovirn. Mat. Stat. 78, 74-85 (2008); translation in Theory Probab. Math. Stat. 78, 83-95 (2009). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G07 42C40 PDF BibTeX XML Cite \textit{Yu. V. Kozachenko} and \textit{E. V. Turchin}, Teor. Ĭmovirn. Mat. Stat. 78, 74--85 (2008; Zbl 1224.60069); translation in Theory Probab. Math. Stat. 78, 83--95 (2009) Full Text: DOI OpenURL
Yamnenko, R. E. An estimate of the probability that the queue length exceeds the maximum for a queue that is a generalized Ornstein-Uhlenbeck stochastic process. (Ukrainian, English) Zbl 1118.60076 Teor. Jmovirn. Mat. Stat. 73, 161-172 (2005); translation in Theory Probab. Math. Stat., Vol 73, 181-194 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60K25 60G07 60K30 90B22 PDF BibTeX XML Cite \textit{R. E. Yamnenko}, Teor. Ĭmovirn. Mat. Stat. 73, 161--172 (2005; Zbl 1118.60076); translation in Theory Probab. Math. Stat., Vol 73, 181--194 (2006) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{O. Vasylyk} et al., Random Oper. Stoch. Equ. 13, No. 2, 111--128 (2005; Zbl 1118.60025) OpenURL
Yamnenko, Rostyslav On probability of crossing for a sum of \(\varphi\)-sub-Gaussian random processes. (Ukrainian. English summary) Zbl 1088.60036 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 2, 74-82 (2005). MSC: 60G15 PDF BibTeX XML Cite \textit{R. Yamnenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 2, 74--82 (2005; Zbl 1088.60036) OpenURL
Yamnenko, Rostyslav On the probability of exceeding some curve by trajectories of a \(\varphi\)-sub-Gaussian random process. (Ukrainian. English summary) Zbl 1064.60071 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 82-86 (2004). MSC: 60G15 PDF BibTeX XML Cite \textit{R. Yamnenko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 82--86 (2004; Zbl 1064.60071) OpenURL
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 PDF BibTeX XML Cite \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) OpenURL
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 PDF BibTeX XML Cite \textit{Y. Kozachenko} et al., Theory Stoch. Process. 9(25), No. 3--4, 70--80 (2003; Zbl 1064.60064) OpenURL