Domains of attraction for the subcritical Galton-Watson branching process
- 1 April 1968
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 5 (1) , 216-219
- https://doi.org/10.2307/3212089
Abstract
Let F(z) = σ fjzj be the generating function for the offspring distribution {fj} from a single ancestor in the usual Galton-Watson process. It is well-known (see Harris [1]) that if Π(z) is the generating function of the distribution of ancestors in the 0th generation, the distribution of offspring at the nth generation has generating function where Fn(z), the nth functional iterate of F(z), gives the distribution of offspring at the nth generation from a single ancestor.Keywords
This publication has 3 references indexed in Scilit:
- A Refinement of Two Theorems in the Theory of Branching ProcessesTheory of Probability and Its Applications, 1967
- On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of statesJournal of Applied Probability, 1966
- The Theory of Branching ProcessesPublished by Springer Nature ,1963