Gibbs fragmentation trees
| dc.creator | McCullagh, Peter | |
| dc.creator | Pitman, Jim | |
| dc.creator | Winkel, Matthias | |
| dc.date | 2007-04-06 | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:17:48Z | |
| dc.date.available | 2026-07-07T10:17:48Z | |
| dc.description | We study fragmentation trees of Gibbs type. In the binary case, we identify the most general Gibbs-type fragmentation tree with Aldous' beta-splitting model, which has an extended parameter range $β>-2$ with respect to the ${\rm beta}(β+1,β+1)$ probability distributions on which it is based. In the multifurcating case, we show that Gibbs fragmentation trees are associated with the two-parameter Poisson--Dirichlet models for exchangeable random partitions of $\mathbb {N}$, with an extended parameter range $0\leα\le1$, $θ\ge-2α$ and $α<0$, $θ=-mα$, $m\in \mathbb {N}$. | |
| dc.description | Published in at http://dx.doi.org/10.3150/08-BEJ134 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm) | |
| dc.identifier | https://arxiv.org/abs/0704.0945 | |
| dc.identifier | http://arxiv.org/abs/0704.0945 | |
| dc.identifier | Bernoulli 2008, Vol. 14, No. 4, 988-1002 | |
| dc.identifier | doi:10.3150/08-BEJ134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173977 | |
| dc.subject | Probability | |
| dc.subject | Statistics Theory | |
| dc.title | Gibbs fragmentation trees | |
| dc.type | text |