Autor: |
Makogin, Vitalii, Kozachenko, Yuriy |
Rok vydání: |
2014 |
Předmět: |
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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 |
Externí odkaz: |
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