Translator Disclaimer
2009 A new family of Markov branching trees: the alpha-gamma model
Bo Chen, Daniel Ford, Matthias Winkel
Author Affiliations +
Electron. J. Probab. 14: 400-430 (2009). DOI: 10.1214/EJP.v14-616

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.

Citation

Download Citation

Bo Chen. Daniel Ford. Matthias Winkel. "A new family of Markov branching trees: the alpha-gamma model." Electron. J. Probab. 14 400 - 430, 2009. https://doi.org/10.1214/EJP.v14-616

Information

Accepted: 9 February 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1190.60081
MathSciNet: MR2480547
Digital Object Identifier: 10.1214/EJP.v14-616

Subjects:
Primary: 60J80

JOURNAL ARTICLE
31 PAGES


SHARE
Vol.14 • 2009
Back to Top