Limit distribution of the quartet balance index for Aldous's b>=0-model
Populations and Evolution
2020-11-23 v3 Probability
Abstract
This paper builds up on T. Martinez-Coronado, A. Mir, F. Rossello and G. Valiente's work "A balance index for phylogenetic trees based on quartets", introducing a new balance index for trees. We show here that this balance index, in the case of Aldous's b>=0-model, convergences weakly to a distribution that can be characterized as the fixed point of a contraction operator on a class of distributions.
Keywords
Cite
@article{arxiv.1803.02136,
title = {Limit distribution of the quartet balance index for Aldous's b>=0-model},
author = {Krzysztof Bartoszek},
journal= {arXiv preprint arXiv:1803.02136},
year = {2020}
}