dc.contributor.author | Meda-Guardiola, Ana | |
dc.date.accessioned | 2011-01-22T10:26:47Z | |
dc.date.available | 2011-01-22T10:26:47Z | |
dc.date.issued | 2003 | |
dc.identifier.issn | 0002-9939 | |
dc.identifier.uri | http://hdl.handle.net/11154/1747 | |
dc.description.abstract | Let (B, parallel to . parallel to) be a separable Banach space. Let Y, Y-1, Y-2,... be centered i.i.d. random vectors taking values on B with law mu, mu(.) = P(Y is an element of .), and let S-n = Sigma(i=1)(n) Y-i. Under suitable conditions it is shown for every open and convex set 0 is not an element of 2 D subset of B that P(parallel toSn/n - v(d)parallel to > epsilon\S/n is an element of D) converges to zero (exponentially), where v(d) is the dominating point of D. As applications we give a different conditional weak law of large numbers, and prove a limiting aposteriori structure to a specific Gibbs twisted measure (in the direction determined solely by the same dominating point). | en_US |
dc.language.iso | en | en_US |
dc.title | Conditional weak laws in Banach spaces | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 2023 | |
dc.source.novolpages | 131(8):2597-2609 | |
dc.subject.wos | Mathematics, Applied | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | conditional laws | |
dc.subject.keywords | dominating point | |
dc.subject.keywords | large deviations | |
dc.subject.keywords | Banach spaces | |
dc.relation.journal | Proceedings of the American Mathematical Society |