Root estimation in Galton-Watson trees

被引：2
|
作者：
Brandenberger, Anna M. [1 ]
Devroye, Luc [1 ]
Goh, Marcel K. [1 ]
机构：
[1] McGill Univ, Sch Comp Sci, Montreal, PQ, Canada
来源：
RANDOM STRUCTURES & ALGORITHMS | 2022年 / 61卷 / 03期
关键词：
Galton-Watson trees; maximum-likelihood methods; probabilistic analysis; Root estimation;
D O I：
10.1002/rsa.21072
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Given only the free-tree 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 maximum-likelihood estimator for the root of a free tree when the underlying tree is a size-conditioned Galton-Watson tree and calculate its probability of being correct.
引用
收藏
页码：520 / 542
页数：23
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