Some extensions of an inequality of Vapnik and Chervonenkis

dc.creatorPanchenko, Dmitry
dc.date2004-05-18
dc.date.accessioned2026-07-07T05:08:22Z
dc.date.available2026-07-07T05:08:22Z
dc.descriptionThe inequality of Vapnik and Chervonenkis controls the expectation of the function by its sample average uniformly over a VC-major class of functions taking into account the size of the expectation. Using Talagrand's kernel method we prove a similar result for the classes of functions for which Dudley's uniform entropy integral or bracketing entropy integral is finite.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0405342
dc.identifierhttp://arxiv.org/abs/math/0405342
dc.identifier2002 Elect. Comm. in Probab. 7 55-65
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71231
dc.subjectProbability
dc.subject60G20
dc.titleSome extensions of an inequality of Vapnik and Chervonenkis
dc.typetext

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