Towards a theory of negative dependence
| dc.creator | Pemantle, Robin | |
| dc.date | 2004-04-05 | |
| dc.date.accessioned | 2026-07-07T08:06:15Z | |
| dc.date.available | 2026-07-07T08:06:15Z | |
| dc.description | The FKG theorem says that the POSITIVE LATTICE CONDITION, an easily checkable hypothesis which holds for many natural families of events, implies POSITIVE ASSOCIATION, a very useful property. Thus there is a natural and useful theory of positively dependent events. There is, as yet, no corresponding theory of negatively dependent events. There is, however, a need for such a theory. This paper, unfortunately, contains no substantial theorems. Its purpose is to present examples that motivate a need for such a theory, give plausibility arguments for the existence of such a theory, outline a few possible directions such a theory might take, and state a number of specific conjectures which pertain to the examples and to a wish list of theorems. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404095 | |
| dc.identifier | http://arxiv.org/abs/math/0404095 | |
| dc.identifier | J. Math. Phys., 41, 1371 - 1390 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130540 | |
| dc.subject | Probability | |
| dc.subject | Statistics Theory | |
| dc.subject | 60C05 (Primary) 62H20, 05E05 (Secondary) | |
| dc.title | Towards a theory of negative dependence | |
| dc.type | text |