Empirical and Gaussian processes on Besov classes

Simple item page
dc.creatorNickl, Richard
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:52Z
dc.date.available2026-07-07T07:36:52Z
dc.descriptionWe give several conditions for pregaussianity of norm balls of Besov spaces defined over $\mathbb{R}^d$ by exploiting results in Haroske and Triebel (2005). Furthermore, complementing sufficient conditions in Nickl and Pötscher (2005), we give necessary conditions on the parameters of the Besov space to obtain the Donsker property of such balls. For certain parameter combinations Besov balls are shown to be pregaussian but not Donsker.
dc.descriptionPublished at http://dx.doi.org/10.1214/074921706000000842 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0612706
dc.identifierhttp://arxiv.org/abs/math/0612706
dc.identifierIMS Lecture Notes Monograph Series 2006, Vol. 51, 185-195
dc.identifierdoi:10.1214/074921706000000842
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120580
dc.subjectProbability
dc.subjectFunctional Analysis
dc.subject60F17 (Primary) 46E35 (Secondary)
dc.titleEmpirical and Gaussian processes on Besov classes
dc.typetext

Files

Collections

arXiv