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}
}

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