Poisson representation of a Ewens fragmentation process

Simple item page
dc.creatorGnedin, Alexander
dc.creatorPitman, Jim
dc.date2006-08-12
dc.date.accessioned2026-07-07T07:21:42Z
dc.date.available2026-07-07T07:21:42Z
dc.descriptionA simple explicit construction is provided of a partition-valued fragmentation process whose distribution on partitions of $[n]=\{1,...,n\}$ at time $θ\ge 0$ is governed by the Ewens sampling formula with parameter $θ$. These partition-valued processes are exchangeable and consistent, as $n$ varies. They can be derived by uniform sampling from a corresponding mass fragmentation process defined by cutting a unit interval at the points of a Poisson process with intensity $θx^{-1} \diff x$ on ${\mathbb R}_+$, arranged to be intensifying as $θ$ increases.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0608307
dc.identifierhttp://arxiv.org/abs/math/0608307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115392
dc.subjectProbability
dc.subjectCombinatorics
dc.subject60C05, 60G09
dc.titlePoisson representation of a Ewens fragmentation process
dc.typetext

Files

Collections

arXiv