Regenerative partition structures
| dc.creator | Gnedin, Alexander | |
| dc.creator | Pitman, Jim | |
| dc.date | 2004-08-04 | |
| dc.date.accessioned | 2026-07-07T05:11:03Z | |
| dc.date.available | 2026-07-07T05:11:03Z | |
| dc.description | We consider Kingman's partition structures which are regenerative with respect to a general operation of random deletion of some part. Prototypes of this class are the Ewens partition structures which Kingman characterised by regeneration after deletion of a part chosen by size-biased sampling. We associate each regenerative partition structure with a corresponding regenerative composition structure, which (as we showed in a previous paper) can be associated in turn with a regenerative random subset of the positive halfline, that is the closed range of a subordinator. A general regenerative partition structure is thus represented in terms of the Laplace exponent of an associated subordinator. We also analyse deletion properties characteristic of the two-parameter family of partition structures. | |
| dc.identifier | https://arxiv.org/abs/math/0408071 | |
| dc.identifier | http://arxiv.org/abs/math/0408071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72115 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.subject | 60G09, 60C05 | |
| dc.title | Regenerative partition structures | |
| dc.type | text |