On calculating extinction probabilities for branching processes in random environments
- 1 December 1969
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 6 (3) , 478-492
- https://doi.org/10.2307/3212096
Abstract
Consider a discrete time Markov chain {Zn} whose state space is the non-negative integers and whose transition probability matrix ║Pij║ possesses the representation where {Pr}, r = 1,2,…, is a finite or denumerably infinite sequence of non-negative real numbers satisfying , and , is a corresponding sequence of probability generating functions. It is assumed that Z0 = k, a finite positive integer.Keywords
This publication has 3 references indexed in Scilit:
- On Branching Processes in Random EnvironmentsThe Annals of Mathematical Statistics, 1969
- Necessary Conditions for Almost Sure Extinction of a Branching Process with Random EnvironmentThe Annals of Mathematical Statistics, 1968
- The Theory of Branching ProcessesPublished by Springer Nature ,1963