Uniform concentration bounds for frequencies of rare events

Lhaut, Stéphane;Sabourin, Anne;Segers, Johan
(2021) , 11 pages

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Authors
  • Lhaut, StéphaneUCLouvain
    Author
  • Sabourin, AnneInstitut polytechnique de Paris
    Author
  • Segers, Johanorcid-logoUCLouvain
    Author
Abstract
New Vapnik–Chervonkis type concentration inequalities are derived for the empirical distribution of an independent random sample. Focus is on the maximal deviation over classes of Borel sets within a low probability region. The constants are explicit, enabling numerical comparisons.
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Citations

Lhaut, S., Sabourin, A., & Segers, J. (2021). Uniform concentration bounds for frequencies of rare events (LIDAM Discussion Paper ISBA 2021/34). https://hdl.handle.net/2078.5/112066