Coalescence times for the Bienayé-Galton-Watson process

• Autores: V. Le
• Localización: Journal of Applied Probability, ISSN-e 0021-9002, Vol. 51, Nº. 1, 2014, págs. 209-218
• Idioma: inglés
• DOI: 10.1017/s0021900200010184
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• Resumen

  • 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 ?8 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.