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arXiv · 1405.1816

Coalescence times for the continuous time Bienaym\'e-Galton-Watson process

Vi Le
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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\rightarrow \infty $ 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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Vi Le. 2014-05-08. Coalescence times for the continuous time Bienaym\'e-Galton-Watson process. https://arxiv.org/abs/1405.1816

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