Journal of Applied Probability
- J. Appl. Probab.
- Volume 53, Number 3 (2016), 802-817.
Coalescence on critical and subcritical multitype branching processes
Consider a d-type (d<∞) Galton–Watson branching process, conditioned on the event that there are at least k≥2 individuals in the nth generation, pick k individuals at random from the nth generation and trace their lines of descent backward in time till they meet. In this paper, the limit behaviors of the distributions of the generation number of the most recent common ancestor of any k chosen individuals and of the whole population are studied for both critical and subcritical cases. Also, we investigate the limit distribution of the joint distribution of the generation number and their types.
J. Appl. Probab., Volume 53, Number 3 (2016), 802-817.
First available in Project Euclid: 13 October 2016
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60F10: Large deviations
Hong, Jyy-I. Coalescence on critical and subcritical multitype branching processes. J. Appl. Probab. 53 (2016), no. 3, 802--817. https://projecteuclid.org/euclid.jap/1476370777