Chornyj, M. D. On modules of continuity of random processes. (Ukrainian, English) Zbl 1050.60046 Teor. Jmovirn. Mat. Stat. 67, 147-150 (2002); translation in Theory Probab. Math. Stat. 67, 163-168 (2003). The modulus of continuity of processes with increments in certain Orlicz space is investigated. Sufficient conditions, which ensure that the sample path of such processes belongs to the Lipshits space, are presented. Several results due to V. V. Buldygin and Yu. V. Kozachenko [“Metric characterization of random variables and processes” (1998; Zbl 0933.60031)] are generalized. Reviewer: N. M. Zinchenko (Kyïv) MSC: 60G17 Sample path properties Keywords:random process; modulus of continuity; Orlicz space; Lipshits space; distribution of supremum Citations:Zbl 0933.60031; Zbl 0998.60503 PDFBibTeX XMLCite \textit{M. D. Chornyj}, Teor. Ĭmovirn. Mat. Stat. 67, 147--150 (2002; Zbl 1050.60046); translation in Theory Probab. Math. Stat. 67, 163--168 (2003)