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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

Owen Dafydd Jones
Owen Dafydd Jones
Affiliation:
School of Mathematics and StatisticsUniversity of SheffieldSheffield S10 2UNUnited Kingdom
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Abstract

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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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