Bounds for the Tail Distributions of Suprema of Sub-Gaussian Type Random Fields

The paper presents bounds for the distributions of suprema for particular classes of ϕ-sub-Gaussian random fields. Results stated depend on representations of bounds for increments of the fields in different metrics. Several examples of applications are provided to illustrate the results, in partic...

Full description

Bibliographic Details
Main Authors: Olha Hopkalo, Lyudmyla Sakhno, Olga Vasylyk
Format: Article
Language:English
Published: Austrian Statistical Society 2023-08-01
Series:Austrian Journal of Statistics
Online Access:https://www.ajs.or.at/index.php/ajs/article/view/1753