A note on the probability of extinction in a class of population-size-dependent Galton-Watson processes
- 1 December 1985
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 22 (4) , 920-925
- https://doi.org/10.2307/3213959
Abstract
In a class of population-size-dependent Galton-Watson processes where extinction does not occur with probability 1 we describe the rate of decay of qi (the probability that the process starting from i ancestors will become extinct) as the number i of ancestors increases.The results are related to the asymptotic behavior of the Green's function of the critical Galton-Watson process with immigration.Keywords
This publication has 1 reference indexed in Scilit:
- On some classes of population-size-dependent Galton–Watson processesJournal of Applied Probability, 1985