Conditions for extinction in certain bisexual Galton–Watson branching processes
- 1 June 1984
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 21 (2) , 414-418
- https://doi.org/10.2307/3213650
Abstract
A multitype branching process, the n-family community mating process, is introduced for the purpose of comparing extinction probabilities with those of bisexual Galton–Watson branching processes. Consideration of known properties of standard multitype branching processes leads to conditions which are both necessary and sufficient for extinction in a bisexual Galton–Watson branching process. An application is then made to the counterexample of the author's earlier paper.Keywords
This publication has 2 references indexed in Scilit:
- A necessary condition for extinction in those bisexual Galton-Watson branching processes governed by superadditive mating functionsJournal of Applied Probability, 1982
- The Theory of Branching ProcessesPublished by Springer Nature ,1963