A conditional 0-1 law for the symmetric sigma-field
| dc.creator | Berti, Patrizia | |
| dc.creator | Rigo, Pietro | |
| dc.date | 2007-05-21 | |
| dc.date.accessioned | 2026-07-07T08:02:40Z | |
| dc.date.available | 2026-07-07T08:02:40Z | |
| dc.description | Let (Ω,\mathcal{B},P) be a probability space, \mathcal{A} a sub-sigma-field of \mathcal{B}, and μa regular conditional distribution for P given \mathcal{A}. For various, classically interesting, choices of \mathcal{A} (including tail and symmetric) the following 0-1 law is proved: There is a set A_0 in \mathcal{A} such that P(A_0)=1 and μ(ω)(A) is 0 or 1 for all A in \mathcal{A} and ωin A_0. Provided \mathcal{B} is countably generated (and certain regular conditional distributions exist), the result applies whatever P is. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0705.3028 | |
| dc.identifier | http://arxiv.org/abs/0705.3028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129298 | |
| dc.subject | Probability | |
| dc.subject | 60A05, 60A10, 60F20 | |
| dc.title | A conditional 0-1 law for the symmetric sigma-field | |
| dc.type | text |