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Bounds on the limiting distribution of a branching process with varying environment
Published online by Cambridge University Press: 17 April 2009
Abstract
Upper and lower bounds are obtained for the left tail of the normed limit W0 of a supercritical branching process with varying environment, that is, for P(W0 < x) for small x. Two types of process are dealt with—öttcher type and Schröder type—which between them cover “most” processes with zero extinction probability.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 52 , Issue 3 , December 1995 , pp. 499 - 515
- Copyright
- Copyright © Australian Mathematical Society 1995
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