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The first- and last-birth problems for a multitype age-dependent branching process

Published online by Cambridge University Press:  01 July 2016

J. D. Biggins
J. D. Biggins*
Affiliation:
University of Oxford
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Abstract

If Bn is the time of the first birth in the nth generation in a supercritical irreducible multitype Crump–Mode process then when there are people in every generation Bn/n converges to a constant; if Dn is the time of the last birth in the nth generation then Dn/n also converges to a constant on the survival set. Analogous results hold for the extreme members of the nth generation in a branching random walk.

Keywords

CRUMP-MODE PROCESSBRANCHING RANDOM WALKFIRST BIRTHLAST BIRTHEXTREMESMULTITYPE
Type
Research Article
Information
Advances in Applied Probability , Volume 8 , Issue 3 , September 1976 , pp. 446 - 459
Copyright
Copyright © Applied Probability Trust 1976 

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References

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