O. Mokliachuk

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math.ST2026

Quasi-Banach spaces of random variables and stochastic processes

Yuriy Kozachenko, Yuriy Mlavets, Oleksandr Mokliachuk

This book develops the theory of quasi-Banach $K_{σ}$ -spaces $F_{ψ} (Ω)$ , $F_{ψ}^{*} (Ω)$ , and $D_{V, W} (Ω)$ of random variables and stochastic processes, extending the clas…

math.ST2025

Estimation of accuracy and reliability of models of $φ$ -sub-Gaussian stochastic processes in $C (T)$ spaces

Oleksandr Mokliachuk

At present, in the theory of stochastic process modeling a problem of assessment of reliability and accuracy of stochastic process model in $C (T)$ space wasn't studied for the case…

math.ST2025

Modeling of stochastic processes in $L_{p} (T)$ using orthogonal polynomials

Oleksandr Mokliachuk

In this paper, models that approximate stochastic processes from the space $S u b_{φ} (Ω)$ with given reliability and accuracy in $L_{p} (T)$ are considered for some specific functions $φ(…

Quasi-Banach spaces of random variables and stochastic processes

Estimation of accuracy and reliability of models of φ-sub-Gaussian stochastic processes in C(T) spaces

Modeling of stochastic processes in Lp​(T) using orthogonal polynomials

Estimation of accuracy and reliability of models of $φ$ -sub-Gaussian stochastic processes in $C (T)$ spaces

Modeling of stochastic processes in $L_{p} (T)$ using orthogonal polynomials