Exponential inequality for chaos based on sampling without replacement - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement
Article Dans Une Revue Statistics and Probability Letters Année : 2019

Exponential inequality for chaos based on sampling without replacement

Résumé

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. (C) 2018 Published by Elsevier B.V.

Dates et versions

hal-02618876 , version 1 (25-05-2020)

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Citer

Pierre Hodara, Patricia Reynaud-Bouret. Exponential inequality for chaos based on sampling without replacement. Statistics and Probability Letters, 2019, 146, pp.65-69. ⟨10.1016/j.spl.2018.11.003⟩. ⟨hal-02618876⟩
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