| Título: | On the Two Oldest Families for the Wright-Fisher Process |
| Autores: |
Delmas, Jean-François; École des Ponts and Université Paris-Est Dhersin, Jean-Stéphane; Université Paris 13 Siri-Jegousse, Arno; Université Paris Descartes |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Wright-Fisher diffusion, MRCA, Kingman coalescent tree, resurrected process, quasi-stationary distribution 60J70, 60K35, 92D25 |
| Descripción: | 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. |
| Idioma: | No aplica |
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