H{ö}lder continuity of random processes

Abstract

The paper will be published in JOTP. In the paper we prove Holder Continuity for ceratian classes of processes with bounded increments. The paper generalizes results obtained by Kwapien and Rosinski in Sample H{ö}lder continuity of stochastic processes and majorizing measures. \textit{Seminar on Stochastic Analysis, Random Fields and Applications IV, Progr. in Probab.} {\bf 58}, 155--163. Birkh{ä}user, Basel.

17 pages

Cited by in corpus (6)

• CLT for continuous random processes under approximations terms
• Central Limit Theorem in Holder spaces in the terms of majorizing measures
• Theory of approximation and continuity of random processes
• Factorable continuity of random fields, with quantitative estimation
• Uniform measures on the arbitrary compact metric spaces, with applications
• Strengthening of weak convergence for Radon measures in separable Banach spaces