Reduced branching processes with very heavy tails

Simple item page
dc.creatorLagerås, Andreas N.
dc.creatorSagitov, Serik
dc.date2007-10-15
dc.date.accessioned2026-07-07T08:36:21Z
dc.date.available2026-07-07T08:36:21Z
dc.descriptionThe reduced Markov branching process is a stochastic model for the genealogy of an unstructured biological population. Its limit behavior in the critical case is well studied for the Zolotarev-Slack regularity parameter $α\in(0,1]$. We turn to the case of very heavy tailed reproduction distribution $α=0$ assuming Zubkov's regularity condition with parameter $β\in(0,\infty)$. Our main result gives a new asymptotic pattern for the reduced branching process conditioned on non-extinction during a long time interval.
dc.description15 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.2755
dc.identifierhttp://arxiv.org/abs/0710.2755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140033
dc.subjectProbability
dc.subject60J80; 60F05
dc.titleReduced branching processes with very heavy tails
dc.typetext

Files

Collections

arXiv