STRICT SUPERCRITICAL GENERATION-DEPENDENT CRUMP-MODE-JAGERS BRANCHING PROCESSES

@article{Edler1978STRICTSG,
  title={STRICT SUPERCRITICAL GENERATION-DEPENDENT CRUMP-MODE-JAGERS BRANCHING PROCESSES},
  author={L. Edler},
  journal={Advances in Applied Probability},
  year={1978},
  volume={10},
  pages={744-763}
}
  • L. Edler
  • Published 1978
  • Mathematics
  • Advances in Applied Probability
  • The general age-dependent branching model of Crump, Mode and Jagers will be generalized towards generation-dependent varying lifespan and reproduction distributions. A system of integral and renewal equations is established for the generating functions and the first two moments of Zi(t) (the number of individuals alive at time t), if the population was initiated at time 0 by one ancestor of age 0 from generation i. Convergence in quadratic mean of Z1(t)/EZi(t) as t tends to infinity is obtained… CONTINUE READING
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