On weak approximation of U-statistics

dc.creatorNasari, Masoud M.
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:30:36Z
dc.date.available2026-07-07T12:30:36Z
dc.descriptionThis paper investigates weak convergence of U-statistics via approximation in probability. The classical condition that the second moment of the kernel of the underlying U-statistic exists is relaxed to having 4/3 moments only (modulo a logarithmic term). Furthermore, the conditional expectation of the kernel is only assumed to be in the domain of attraction of the normal law (instead of the classical two-moment condition).
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0901.2343
dc.identifierhttp://arxiv.org/abs/0901.2343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216177
dc.subjectProbability
dc.titleOn weak approximation of U-statistics
dc.typetext

Files

Collections