Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Olga Vasylyk"'
Publikováno v:
Austrian Journal of Statistics, Vol 52, Iss SI (2023)
The paper presents bounds for the distributions of suprema for particular classes of ϕ-sub-Gaussian random fields. Results stated depend on representations of bounds for increments of the fields in different metrics. Several examples of applications
Externí odkaz:
https://doaj.org/article/75c9ad95dca947a4b81d240916b96267
Publikováno v:
Modern Stochastics: Theory and Applications, Vol 7, Iss 1, Pp 79-96 (2019)
In the paper we consider higher-order partial differential equations from the class of linear dispersive equations. We investigate solutions to these equations subject to random initial conditions given by harmonizable φ-sub-Gaussian processes. The
Externí odkaz:
https://doaj.org/article/7e95f9a884e848dd820e255aef96c6f1
Autor:
Olga Vasylyk
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :11-19
In this paper, there are studied sample paths properties of stochastic processes representing solutions (in L_2(Ω) sense) to the linear Korteweg–de Vries equation (called also the Airy equation) with random initial conditions given by φ-sub-Gaus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9708c727dece54dc890a4521c837210
https://doi.org/10.17721/1812-5409.2022/2.1
https://doi.org/10.17721/1812-5409.2022/2.1
In the paper, we consider random variables and stochastic processes from the space Fψ(Ω) and study approximation problems for such processes. The method of series decomposition of stochastic processes from Fψ(Ω) is used to find an approximating p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c869e48273dbbda52ac2871ba38c1715
https://doi.org/10.21203/rs.3.rs-2300804/v1
https://doi.org/10.21203/rs.3.rs-2300804/v1
Autor:
Olga Vasylyk
Publikováno v:
Theory of Probability and Mathematical Statistics. 101:51-65
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbc6299796f27ca0dfe2eec1e9d388e9
https://doi.org/10.1090/tpms/1111
https://doi.org/10.1090/tpms/1111
Autor:
Olga Vasylyk
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :78-84
In this paper, there are studied sample paths properties of stochastic processes representing solutions of higher-order dispersive equations with random initial conditions given by φ-sub-Gaussian harmonizable processes. The main results are the boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::132f5f19c93cd728d419d6422e8d77ad
https://doi.org/10.17721/1812-5409.2021/2.11
https://doi.org/10.17721/1812-5409.2021/2.11
Autor:
Olga Vasylyk, Tetiana Ianevych
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :18-25
In the paper, we consider the problem of simulation of a strictly φ-sub-Gaussian generalized fracti-onal Brownian motion. Simulation of random processes and fields is used in many areas of natural and social sciences. A special place is occupied by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2446d1535e657e9e83d5144df55a25d1
https://doi.org/10.17721/1812-5409.2021/2.3
https://doi.org/10.17721/1812-5409.2021/2.3
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :17-24
In this paper, there are studied sample paths properties of stochastic processes representing solutions (in $L_2(\Omega)$ sense) of the heat equation with random initial conditions given by $\varphi$-sub-Gaussian stationary processes. The main result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b59fc3e2448c1030cbf5e70b687bc483
https://doi.org/10.17721/1812-5409.2020/1-2.2
https://doi.org/10.17721/1812-5409.2020/1-2.2
Autor:
Olga Vasylyk, I. V. Rozora, Lyudmyla Sakhno, M. O. Perestyuk, Yu. S. Mishura, Mikhail Moklyachuk, R. Ye. Yamnenko
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :9-29
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f20c574669da5f0eb3576c9bb07a71bc
https://doi.org/10.17721/1812-5409.2020/3.1
https://doi.org/10.17721/1812-5409.2020/3.1
Publikováno v:
Theory of Probability and Mathematical Statistics. 97:99-111
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a7fee72231d265dfd12c5a16de2e1c3
https://doi.org/10.1090/tpms/1051
https://doi.org/10.1090/tpms/1051