Gibbs fragmentation trees

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 beta(β + 1, β + 1) probability distributions on which it is based...

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Bibliographic Details
Main Authors: Mccullagh, P, Pitman, J, Winkel, M
Format: Journal article
Language:English
Published: 2008