A note on suprema of canonical processes based on random variables with regular moments
Rafa{\l} Lata{\l}a, Tomasz Tkocz
TL;DR
This paper establishes bounds for the expected supremum of canonical processes derived from random variables with regular moment growth, and discusses a Sudakov-type lower bound principle.
Contribution
It introduces two-sided bounds and a Sudakov-type minoration principle for canonical processes based on variables with regular moments.
Findings
Derived two-sided bounds for expected suprema.
Established a Sudakov-type minoration principle.
Applicable to processes with regularly growing moments.
Abstract
We derive two-sided bounds for expected values of suprema of canonical processes based on random variables with moments growing regularly. We also discuss a Sudakov-type minoration principle for canonical processes.
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