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

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

25 Feb 2025arXiv:2502.18159links table onlyarchive 2025-07-28

Krzysztof Bartoszek, Bayu Brahmantio, Woodrow Hao Chi Kiang

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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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