Lipschitz conditions for stochastic processes in the Banach spaces $\mathbb {F}_\psi (\Omega )$ of random variables

DOI10.1090/TPMS/965zbMath1333.60069OpenAlexW2495060149MaRDI QIDQ2786941

D. V. Zatula, Yuriy Vasil'ovich Kozachenko

Publication date: 24 February 2016

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/965

zbMATH Keywords

stochastic processesmodulus of continuityLipschitz conditionsmetric massiveness

Mathematics Subject Classification ID

General theory of stochastic processes (60G07) Sample path properties (60G17)

Cites Work

• Stochastic processes with value in exponential type Orlicz spaces
• Symmetric infinitely divisible processes with sample paths in Orlicz spaces and absolute continuity of infinitely divisible processes
• An application of \(\varphi\)-subgaussian technique to Fourier analysis
• Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables
• Sample functions of the Gaussian process
• The Banach spaces $\mathbf {F}_\psi (\Omega )$ of random variables
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