Coalescence times for the continuous time Bienaym\'e-Galton-Watson process
Abstract
We investigate the distribution of the coalescence time (most recent common ancestor) for two individuals picked at random (uniformly) in the current generation of a continuous time Bienaym\'e-Galton-Watson process founded t units of time ago. We also obtain limiting distributions as t→ ∞ in the subcritical case. We may also extend our results for two individuals to the joint distribution of coalescence times for any finite number of individuals sampled in the current generation.
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