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First two moments and cross-moments of some coalescent times of the pure birth tree (2502.18159v2)

Published 25 Feb 2025 in math.PR and q-bio.PE

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.