The first- and last-birth problems for a multitype age-dependent branching process
1976; Cambridge University Press; Volume: 8; Issue: 03 Linguagem: Inglês
10.1017/s0001867800042348
ISSN1475-6064
Autores Tópico(s)Markov Chains and Monte Carlo Methods
ResumoIf B n is the time of the first birth in the n th generation in a supercritical irreducible multitype Crump–Mode process then when there are people in every generation B n /n converges to a constant; if D n is the time of the last birth in the n th generation then D n /n also converges to a constant on the survival set. Analogous results hold for the extreme members of the n th generation in a branching random walk.
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