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A maximum sequence in a critical multitype branching process

Published online by Cambridge University Press:  14 July 2016

Aurel Spåtaru
Aurel Spåtaru*
Affiliation:
Centre of Mathematical Statistics, Bucharest
*
∗ Postal address: Centre of Mathematical Statistics, Bd. Magheru 22, 70158 Bucharest, Romania.
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Abstract

Let (Zn) be a p-type positively regular and non-singular critical Galton–Watson process with finite second moments. Associated with the spectral radius 1 of the mean matrix of (Zn) consider the right eigenvector u = (u1, · ··, up) > 0, and set . It is shown that lim inf, lim sup whenever Z0 = i, where .

Keywords

MARTINGALESTOPPING TIMERANDOM WALK

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 4 , December 1991 , pp. 893 - 897
Copyright
Copyright © Applied Probability Trust 1991 

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References

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