Some Distributions on Finite Rooted Binary Trees
Combinatorics
2017-08-22 v1 Group Theory
Probability
Abstract
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.
Cite
@article{arxiv.1708.06130,
title = {Some Distributions on Finite Rooted Binary Trees},
author = {Sean Cleary and Mareike Fischer and Robert C. Griffiths and Raazesh Sainudiin},
journal= {arXiv preprint arXiv:1708.06130},
year = {2017}
}