Exponential inequality for chaos based on sampling without replacement

Published 28 Aug 2018 in math.ST, math.PR, and stat.TH | (1808.09184v1)

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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