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

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A new family of Markov branching trees: the alpha-gamma model
2.	Creator	Author's name, affiliation, country	Bo Chen; University of Oxford
2.	Creator	Author's name, affiliation, country	Daniel Ford; Google Inc.
2.	Creator	Author's name, affiliation, country	Matthias Winkel; University of Oxford
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Alpha-gamma tree, splitting rule, sampling consistency, self-similar fragmentation, dislocation measure, continuum random tree, R-tree, Markov branching model
3.	Subject	Subject classification	60J80
4.	Description	Abstract	We 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 size-biased order, and we study their limiting behaviour.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Bo Chen is supported by a K C Wong Education Foundation scholarship
7.	Date	(YYYY-MM-DD)	2009-02-09
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/616
10.	Identifier	Digital Object Identifier	10.1214/EJP.v14-616
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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