论文标题

Galton-Watson树中的根估计

Root estimation in Galton-Watson trees

论文作者

Brandenberger, Anna M., Devroye, Luc, Goh, Marcel K.

论文摘要

只有树的自由树结构,根估计问题询问是否可以猜测哪个自由树节点是原始树的根。当下面的树是尺寸条件的Galton-Watson树时,我们确定自由树根的最大样品估计量,并计算其正确的概率。

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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