Construction of a specification from its singleton part
| dc.creator | Fernandez, Roberto | |
| dc.creator | Maillard, Gregory | |
| dc.date | 2004-09-28 | |
| dc.date | 2006-11-14 | |
| dc.date.accessioned | 2026-07-07T06:38:51Z | |
| dc.date.available | 2026-07-07T06:38:51Z | |
| dc.description | We state a construction theorem for specifications starting from single-site conditional probabilities (singleton part). We consider general single-site spaces and kernels that are absolutely continuous with respect to a chosen product measure (free measure). Under a natural order-consistency assumption and weak non-nullness requirements we show existence and uniqueness of the specification extending the given singleton part. We determine conditions granting the continuity of the specification. In addition, we show that, within a class of measures with suitable support properties, consistency with singletons implies consistency with the full specification. | |
| dc.description | 19 pages. Version to appear in ALEA. We added Proposition 4.3 and made small corrections with respect to version 1 | |
| dc.identifier | https://arxiv.org/abs/math/0409539 | |
| dc.identifier | http://arxiv.org/abs/math/0409539 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100884 | |
| dc.subject | Probability | |
| dc.subject | 82B05 | |
| dc.title | Construction of a specification from its singleton part | |
| dc.type | text |