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      Exponential inequality for chaos based on sampling without replacement

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          Abstract

          We are interested in the behavior of particular functionals, in a framework where the only source of randomness is a sampling without replacement. More precisely the aim of this short note is to prove an exponential concentration inequality for special U-statistics of order 2, that can be seen as chaos.

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          A Combinatorial Central Limit Theorem

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            The two-sample problem for Poisson processes Adaptive tests with a nonasymptotic wild bootstrap approach

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              Decoupling from Dependence to Independence Randomly Stopped Processes U-Statistics and Processes Martingales and beyond

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                Author and article information

                Journal
                28 August 2018
                Article
                1808.09184
                d40127a3-55ab-4126-83d4-42c2eb117c59

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                math.ST math.PR stat.TH
                ccsd

                Probability,Statistics theory
                Probability, Statistics theory

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