The first- and last-birth problems for a multitype age-dependent branching process
- 1 September 1976
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 8 (3) , 446-459
- https://doi.org/10.2307/1426138
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
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