O. Mokliachuk

collaborators

5 papers

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_{I ¨} $ -spaces $F_{I ¨} (I^c ◯)$ , $F_{I ¨} ^{*} (I^c ◯)$ , and $D_{V, W} (I^c ◯)$ of random variables and stochastic processes, extending th…

math.ST2026

Estimation of reliability and accuracy of models of $I ¨ $ -sub-Gaussian process using generating functions of polynomial expansions

Oleksandr Mokliachuk

Stochastic processes are often represented through orthonormal series expansions, a framework originating in the classical works of LoÃ¨ve and Karhunen and widely used for simulati…

math.PR2025

Modelling with given reliability and accuracy in the space $L_{p} (T)$ of stochastic processes from $S u b_{I ¨} (I^c ◯)$ decomposable in series with independent elements

Oleksandr Mokliachuk

Models that approximate stochastic processes from $S u b_{I ¨} (I^c ◯)$ with given reliability and accuracy in $L_{p} (T)$ for some given $I ¨ (t)$ are considered. We also study construction of…

math.ST2025

Estimation of accuracy and reliability of models of $I ¨ $ -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 $S u b_{I ¨} (I^c ◯)$ with given reliability and accuracy in $L_{p} (T)$ are considered for some specific functions $…

Quasi-Banach spaces of random variables and stochastic processes

Estimation of reliability and accuracy of models of I¨-sub-Gaussian process using generating functions of polynomial expansions

Modelling with given reliability and accuracy in the space Lp​(T) of stochastic processes from SubI¨​(I^c◯) decomposable in series with independent elements

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

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

Estimation of reliability and accuracy of models of $I ¨ $ -sub-Gaussian process using generating functions of polynomial expansions

Modelling with given reliability and accuracy in the space $L_{p} (T)$ of stochastic processes from $S u b_{I ¨} (I^c ◯)$ decomposable in series with independent elements

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

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