Kozachenko, Yurij V.; Vasylyk, Ol’ga I. Sample paths continuity and estimates of distributions of increments of separable stochastic processes from the class \(V(\varphi,\psi)\) defined on a compact set. (Ukrainian. English summary) Zbl 1064.60057 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 2, 45-50 (2004). Summary: Conditions for sample path continuity with probability one and estimates for increments of stochastic processes from the class \(V(\varphi,\psi)\) defined on a compact space are given. The obtained estimates improve and generalise the known estimates. Cited in 1 Document MSC: 60G07 General theory of stochastic processes 60G17 Sample path properties Keywords:sample paths continuity; \(\varphi\)-sub-Gaussian random process; distribution of supremum of increments PDF BibTeX XML Cite \textit{Y. V. Kozachenko} and \textit{O. I. Vasylyk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 2, 45--50 (2004; Zbl 1064.60057) OpenURL