The laws of iterated and triple logarithms for extreme values of regenerative processes

We analyze almost sure asymptotic behavior of extreme values of a regenerative process. We show that under certain conditions a properly centered and normalized running maximum of a regenerative process satisfies a law of the iterated logarithm for the lim sup and a law of the triple logarithm for t...

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Bibliographic Details
Main Authors: Alexander Marynych, Ivan Matsak
Format: Article
Language:English
Published: VTeX 2020-02-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/20-VMSTA147

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