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Some remarks on the Sudakov minoration (1404.6045v2)

Published 24 Apr 2014 in math.PR

Abstract: In this paper we discuss Sudakov type minoration for the dependent setting. Sudakov minoration is a well known property first proved for centered Gaussian processes which states that for well separated points there is a natural lower bound on the expectation of the supremum of such a process. We generalize this concept for the dependent setting where we consider log concave random variables and then discuss methods of proving the property.

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