Root estimation in GaltonWatson trees
Abstract
Given only the freetree structure of a tree, the root estimation problem asks if one can guess which of the free tree's nodes is the root of the original tree. We determine the maximumlikelihood estimator for the root of a free tree when the underlying tree is a sizeconditioned GaltonWatson tree and calculate its probability of being correct.
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.05681
 Bibcode:
 2020arXiv200705681B
 Keywords:

 Mathematics  Probability
 EPrint:
 24 pages, TeX