Yurii Mlavets's research works | Uzhhorod National University, Uzhgorod (UzhNU) and other places

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A hybrid model of risk assessment of the functioning of information modules of critical infrastructure objects

Article

Jan 2023

On Convergence of the Uniform Norm and Approximation for Stochastic Processes from the Space Fψ(Ω)

Preprint

Full-text available

Nov 2022

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 process called a model. The rate ofconvergence of the model to the process in the uniform norm is investi...

Weak convergence of stochastic processes from spaces $F_\psi(\Omega)

Article

Full-text available

Jun 2018

This paper is devoted to the investigation of conditions for the eak convergence in the space $C(T)$ of the stochastic processes from the space $\mathbf{F}_\psi(\Omega)$. Using this conditions the limit theorem for stochastic processes from the space $\mathbf{F}_\psi(\Omega)$ has been obtained. This theorem can be utilized for gaining the given app...