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arXiv · 2007.05681

Root estimation in Galton-Watson trees

Anna M. Brandenberger·Luc Devroye·Marcel K. Goh
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Abstract

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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Anna M. Brandenberger, Luc Devroye, Marcel K. Goh. 2020-07-11. Root estimation in Galton-Watson trees. https://arxiv.org/abs/2007.05681

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