Time to most recent common ancestor for stationary continuous state branching processes with immigration |
| |
Authors: | Hongwei Bi |
| |
Institution: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
|
| |
Abstract: | Motivated by sample path decomposition of the stationary continuous state branching process with immigration, a general population model is considered using the idea of immortal individual. We compute the joint distribution of the random variables: the time to the most recent common ancestor (MRCA), the size of the current population, and the size of the population just before MRCA. We obtain the bottleneck effect as well. The distribution of the number of the oldest families is also established. These generalize the results obtained by Y. T. Chen and J. F. Delmas. |
| |
Keywords: | Continuous state branching process with immigration (CBI- processes) most recent common ancestor (MRCA) measured rooted real tree decomposition |
本文献已被 维普 SpringerLink 等数据库收录! |
|