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Concentration bounds for sampling without replacement and Hoeffding statistics

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arxiv 2301.03096 v1 pith:ZTYZRDGO submitted 2023-01-08 math.PR

Bart{l}omiej Polaczyk This is my paper · ORCID
classification math.PR
keywords concentrationboundhoeffdingreplacementsamplingstatisticswithoutarbitrary
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We prove a Bennett-type concentration bound for suprema of empirical processes based on sampling without replacement and a corresponding bound in the case of an arbitrary Hoeffding statistics. We improve on the previous results of such type, providing a sharper concentration profile.

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