On the variational distance of two trees
Probability
2016-08-16 v1
Abstract
A widely studied model for generating sequences is to ``evolve'' them on a tree according to a symmetric Markov process. We prove that model trees tend to be maximally ``far apart'' in terms of variational distance.
Keywords
Cite
@article{arxiv.math/0610323,
title = {On the variational distance of two trees},
author = {M. A. Steel and L. A. Székely},
journal= {arXiv preprint arXiv:math/0610323},
year = {2016}
}
Comments
Published at http://dx.doi.org/10.1214/105051606000000196 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)