A Kolmogorov–Chentsov Type Theorem on General Metric Spaces with Applications to Limit Theorems for Banach-Valued Processes

This paper deals with moduli of continuity for paths of random processes indexed by a general metric space Θ with values in a general metric space X . Adapting the moment condition on the increments from the classical Kolmogorov–Chentsov theorem, the obtained result on the modulus of continuity allo...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of theoretical probability Vol. 36; no. 3; pp. 1454 - 1486
Main Authors:	Krätschmer, Volker, Urusov, Mikhail
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2023 Springer Nature B.V
Subjects:	Banach spaces Euclidean geometry Geometry Mathematics Mathematics and Statistics Metric space Probability Theory and Stochastic Processes Random processes Riemann manifold Statistics Theorems Tightness Covering numbers 60G60 Secondary 60B12 Uniform tightness Primary 60G17 Banach-valued central limit theorems Talagrand’s chaining technique Kolmogorov–Chentsov type theorems 60F05
ISSN:	0894-9840, 1572-9230
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!