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arXiv · 1408.6337

Maximal clades in random binary search trees

Svante Janson
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Abstract

We study maximal clades in random phylogenetic trees with the Yule-Harding model or, equivalently, in binary search trees. We use probabilistic methods to reprove and extend earlier results on moment asymptotics and asymptotic normality. In particular, we give an explanation of the curious phenomenon observed by Drmota, Fuchs and Lee (2014) that asymptotic normality holds, but one should normalize using half the variance.

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Svante Janson. 2014-08-27. Maximal clades in random binary search trees. https://arxiv.org/abs/1408.6337

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