On Seneta's constants for the supercritical Bellman-Harris process with $E(Z_+ \log Z_+) = \infty$
| dc.creator | Angerer, Wolfgang P. | |
| dc.date | 2005-12-20 | |
| dc.date | 2006-01-10 | |
| dc.date.accessioned | 2026-07-07T06:55:33Z | |
| dc.date.available | 2026-07-07T06:55:33Z | |
| dc.description | For a finite mean supercriticial Bellman-Harris process, there exist numbers $χ_t$ (the Seneta constants) such that $χ_t$ times the size of the population at time $t$ converges almost surely to a non-degenerate limit. We obtain a characterisation of the slowly varying part of the Seneta constants under the assumption that the life-time distribution of particles is strongly non-lattice. | |
| dc.description | 8 pages, final part of proof rewritten | |
| dc.identifier | https://arxiv.org/abs/math/0512458 | |
| dc.identifier | http://arxiv.org/abs/math/0512458 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106312 | |
| dc.subject | Probability | |
| dc.subject | 60J80 | |
| dc.title | On Seneta's constants for the supercritical Bellman-Harris process with $E(Z_+ \log Z_+) = \infty$ | |
| dc.type | text |