On the two oldest families for the Wright-Fisher process

Abstract : We extend some of the results of Pfaffelhuber and Wakolbinger on the process of the most recent common ancestors in evolving coalescent by taking into account the size of one of the two oldest families or the oldest family which contains the immortal line of descent. For example we give an explicit formula for the Laplace transform of the extinction time for the Wright-Fisher diffusion. We give also an interpretation of the quasi-stationary distribution of the Wright-Fisher diffusion using the process of the relative size of one of the two oldest families, which can be seen as a resurrected Wright-Fisher diffusion.
Type de document :
Article dans une revue
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2010, 15, pp.776-800
Liste complète des métadonnées

https://hal-enpc.archives-ouvertes.fr/hal-00674632
Contributeur : Cermics Hal <>
Soumis le : lundi 27 février 2012 - 17:21:03
Dernière modification le : mercredi 4 janvier 2017 - 16:22:44

Identifiants

  • HAL Id : hal-00674632, version 1

Collections

Citation

Jean-François Delmas, Jean-Stephane Dhersin, Arno Siri-Jegousse. On the two oldest families for the Wright-Fisher process. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2010, 15, pp.776-800. <hal-00674632>

Partager

Métriques

Consultations de la notice

94