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23 April 2024

» arxiv » math.PR/0505492

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Concentration for independent random variables with heavy tails
Franck Barthe ; Patrick Cattiaux ; Cyril Roberto ;
Date:	24 May 2005
Subject:	Probability \| math.PR
Affiliation:	LSProba), Patrick Cattiaux (MODAL’X, CMAP), Cyril Roberto (LAMA
Abstract:	If a random variable is not exponentially integrable, it is known that no concentration inequality holds for an infinite sequence of independent copies. Under mild conditions, we establish concentration inequalities for finite sequences of $n$ independent copies, with good dependence in $n$.
Source:	arXiv, math.PR/0505492
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