Poisson-Kingman partitions
| dc.creator | Pitman, Jim | |
| dc.date | 2002-10-24 | |
| dc.date.accessioned | 2026-07-07T04:52:21Z | |
| dc.date.available | 2026-07-07T04:52:21Z | |
| dc.description | This paper presents some general formulas for random partitions of a finite set derived by Kingman's model of random sampling from an interval partition generated by subintervals whose lengths are the points of a Poisson point process. These lengths can be also interpreted as the jumps of a subordinator, that is an increasing process with stationary independent increments. Examples include the two-parameter family of Poisson-Dirichlet models derived from the Poisson process of jumps of a stable subordinator. Applications are made to the random partition generated by the lengths of excursions of a Brownian motion or Brownian bridge conditioned on its local time at zero. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210396 | |
| dc.identifier | http://arxiv.org/abs/math/0210396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65432 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.subject | 60G09 (Primary) 60J65, 60G51, 60E07, 05A18 (Secondary) | |
| dc.title | Poisson-Kingman partitions | |
| dc.type | text |