Author: Brandenberger, Anna M.; Devroye, Luc; Goh, Marcel K.
Title: Root estimation in Galton-Watson trees Cord-id: 4zj2z6uo Document date: 2020_7_11
ID: 4zj2z6uo
Snippet: 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.
Document: 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.
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