Journal of Applied Probability

Coalescence times for the Bienaymé-Galton-Watson process

V. Le

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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 Bienaymé-Galton-Watson process founded t units of time ago. We also obtain limiting distributions as t → ∞ in the subcritical case. We extend our results for two individuals to the joint distribution of coalescence times for any finite number of individuals sampled in the current generation.

Article information

J. Appl. Probab., Volume 51, Number 1 (2014), 209-218.

First available in Project Euclid: 25 March 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60J27: Continuous-time Markov processes on discrete state spaces
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)

Bienaymé-Galton-Watson process coalescence discrete-state branching process quasistationary distribution


Le, V. Coalescence times for the Bienaymé-Galton-Watson process. J. Appl. Probab. 51 (2014), no. 1, 209--218. doi:10.1239/jap/1395771424.

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