Suprema of canonical Weibull processes

preprint2015arXivOpen access

Abstract

In this note we investigate the problem of bounding the suprema of canonical processes based on r.v.s with tails exp⁡(−tr)\exp{(-t^r)}, where 0<r≤10<r \le 1. We propose a method using non-increasing rearrangement that provides a two-sided bound.

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