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On single- and multi-type general age-dependent branching processes

1976; Cambridge University Press; Volume: 13; Issue: 2 Linguagem: Inglês

10.2307/3212827

1475-6072

R. A. Doney,

Markov Chains and Monte Carlo Methods

We consider a p- type general age-dependent branching process (g.a.d.b.p) in which each individual lives a random length of time and at random times during its life and possibly after its death gives birth to offspring. If this process starts with one individual of type i then it turns out that the number of individuals of type i alive at time t forms a one-type g.a.d.b.p. This fact is exploited to establish a NASC for a properly normalized, supercritical p -type g.a.d.b.p. to have a limiting distribution which is not degenerate at zero.