Probability distributions of extremes of self-similar Gaussian random fields

Autor: Makogin, Vitalii, Kozachenko, Yuriy
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: We have obtained some upper bounds for the probability distribution of extremes of a self-similar Gaussian random field with stationary rectangular increments that are defined on the compact spaces. The probability distributions of extremes for the normalized self-similar Gaussian random fields with stationary rectangular increments defined in ${\mathbb{R}}^2_+$ have been presented. In our work we have used the techniques developed for the self-similar fields and based on the classical series analysis of the maximal probability bounding from below for the Gaussian fields.
Databáze: arXiv