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March 2014 Coalescence times for the Bienaymé-Galton-Watson process
V. Le
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J. Appl. Probab. 51(1): 209-218 (March 2014). DOI: 10.1239/jap/1395771424

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 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.

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V. Le. "Coalescence times for the Bienaymé-Galton-Watson process." J. Appl. Probab. 51 (1) 209 - 218, March 2014. https://doi.org/10.1239/jap/1395771424

Information

Published: March 2014
First available in Project Euclid: 25 March 2014

zbMATH: 1291.60157
MathSciNet: MR3189452
Digital Object Identifier: 10.1239/jap/1395771424

Subjects:
Primary: 60J27
Secondary: 60J80

Rights: Copyright © 2014 Applied Probability Trust

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Vol.51 • No. 1 • March 2014
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