Gibbs fragmentation trees

DOI10.3150/08-BEJ134zbMath1158.60373arXiv0704.0945OpenAlexW2126105856MaRDI QIDQ1002533

Peter McCullagh, Matthias Winkel, Jim W. Pitman

Publication date: 2 March 2009

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0945

zbMATH Keywords

Gibbs distributionPoisson-Dirichlet distributionMarkov branching modelAldous' beta-splitting model

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes (60J99)

Related Items (11)

Exchangeable and sampling-consistent distributions on rooted binary trees ⋮ Restricted exchangeable partitions and embedding of associated hierarchies in continuum random trees ⋮ Schröder’s problems and scaling limits of random trees ⋮ Bayesian non-parametrics and the probabilistic approach to modelling ⋮ Alpha-diversity processes and normalized inverse-Gaussian diffusions ⋮ Partitioned conditional generalized linear models for categorical responses ⋮ Cluster and feature modeling from combinatorial stochastic processes ⋮ Gibbs fragmentation trees ⋮ Time-varying network models ⋮ A Consistent Markov Partition Process Generated from the Paintbox Process ⋮ Generalized Markov branching trees

Cites Work

• The continuum random tree. I
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• Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic mod\-els
• Gibbs fragmentation trees
• Self-similar fragmentation derived from the stable tree. I: Splitting at heights
• Gibbs distributions for random partitions generated by a fragmentation process
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Moments of convex distribution functions and completely alternating sequences
• Homogeneous fragmentation processes
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