AN AGE DEPENDENT BRANCHING PROCESS WITH VARIABLE LIFETIME DISTRIBUTION

@article{Fildes1972ANAD,
  title={AN AGE DEPENDENT BRANCHING PROCESS WITH VARIABLE LIFETIME DISTRIBUTION},
  author={R. Fildes},
  journal={Advances in Applied Probability},
  year={1972},
  volume={4},
  pages={453-474}
}
  • R. Fildes
  • Published 1972
  • Mathematics
  • Advances in Applied Probability
  • A branching process with variable lifetime distribution is defined by a sequence of distribution functions { G i ( t )}, together with a probability generating function, h ( s ) = Σ k ∞ = 0 pks k . An i th generation particle lives a random length of time, determined by G i ( t ). At the end of a particle's life it produces children, the number being determined by h ( s ). These offspring behave like the initial particle except they are ( i + 1)th generation particles and have lifetime… CONTINUE READING
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