Yu. Kozachenko

collaborators

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

math.PR2016

Whittaker-Kotel'nikov-Shannon approximation of $φ$ -sub-Gaussian random processes

Yuriy Kozachenko, Andriy Olenko

The article starts with generalizations of some classical results and new truncation error upper bounds in the sampling theorem for bandlimited stochastic processes. Then, it inves…

Quasi-Banach spaces of random variables and stochastic processes

Whittaker-Kotel'nikov-Shannon approximation of φ-sub-Gaussian random processes

Whittaker-Kotel'nikov-Shannon approximation of $φ$ -sub-Gaussian random processes