Chaoticity for multi-class systems and exchangeability within classes
| dc.creator | Graham, Carl | |
| dc.date | 2007-09-12 | |
| dc.date | 2008-10-16 | |
| dc.date.accessioned | 2026-07-07T10:10:07Z | |
| dc.date.available | 2026-07-07T10:10:07Z | |
| dc.description | Classical results for exchangeable systems of random variables are extended to multi-class systems satisfying a natural partial exchangeability assumption. It is proved that the conditional law of a finite multi-class system, given the value of the vector of the empirical measures of its classes, corresponds to independent uniform orderings of the samples within each class, and that a family of such systems converges in law if and only if the corresponding empirical measure vectors converge in law. As a corollary, convergence within each class to an infinite i.i.d. system implies asymptotic independence between different classes. A result implying the Hewitt-Savage 0-1 Law is also extended. | |
| dc.description | Third revision, v4. The paper is similar to the second revision v3, with several improvements | |
| dc.identifier | https://arxiv.org/abs/0709.1918 | |
| dc.identifier | http://arxiv.org/abs/0709.1918 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171521 | |
| dc.subject | Probability | |
| dc.subject | 60K35 (Primary), 60B10, 60G09, 62B05 (Secondary) | |
| dc.title | Chaoticity for multi-class systems and exchangeability within classes | |
| dc.type | text |