Some Distributions on Finite Rooted Binary Trees

We introduce some natural families of distributions on rooted binary ranked plane trees with a view toward unifying ideas from various fields, including macroevolution, epidemiology, computational group theory, search algorithms and other fields. In the process we introduce the notions of split-exch...

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Bibliographic Details
Published inarXiv.org
Main Authors Cleary, Sean, Fischer, Mareike, Griffiths, Robert C, Sainudiin, Raazesh
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.08.2017
Subjects
Epidemiology
Group theory
Markov chains
Search algorithms
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Summary:We introduce some natural families of distributions on rooted binary ranked plane trees with a view toward unifying ideas from various fields, including macroevolution, epidemiology, computational group theory, search algorithms and other fields. In the process we introduce the notions of split-exchangeability and plane-invariance of a general Markov splitting model in order to readily obtain probabilities over various equivalence classes of trees that arise in statistics, phylogenetics, epidemiology and group theory.
ISSN:2331-8422