A new family of Markov branching trees: the alpha-gamma model

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dc.creatorChen, Bo
dc.creatorFord, Daniel
dc.creatorWinkel, Matthias
dc.date2008-07-03
dc.date.accessioned2026-07-07T09:48:15Z
dc.date.available2026-07-07T09:48:15Z
dc.descriptionWe introduce a simple tree growth process that gives rise to a new two-parameter family of discrete fragmentation trees that extends Ford's alpha model to multifurcating trees and includes the trees obtained by uniform sampling from Duquesne and Le Gall's stable continuum random tree. We call these new trees the alpha-gamma trees. In this paper, we obtain their splitting rules, dislocation measures both in ranked order and in sized-biased order, and we study their limiting behaviour.
dc.description23 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0807.0554
dc.identifierhttp://arxiv.org/abs/0807.0554
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164141
dc.subjectProbability
dc.subject60J80
dc.titleA new family of Markov branching trees: the alpha-gamma model
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