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arXiv · 2502.18159

First two moments and cross-moments of some coalescent times of the pure birth tree

Krzysztof Bartoszek·Bayu Brahmantio·Woodrow Hao Chi Kiang
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Abstract

We present here a thorough study of the first two moments and cross-moments for the pure birth tree's height and for the coalescent time of a randomly sampled pair of tips. We consider also the first two moments of the conditional, on the tree, expectation of this coalescent time.

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Krzysztof Bartoszek, Bayu Brahmantio, Woodrow Hao Chi Kiang. 2025-02-25. First two moments and cross-moments of some coalescent times of the pure birth tree. https://arxiv.org/abs/2502.18159

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