An age dependent branching process with variable lifetime distribution: The generation size

@article{Fildes1974AnAD,
title={An age dependent branching process with variable lifetime distribution: The generation size},
author={R. Fildes},
journal={Advances in Applied Probability},
year={1974},
volume={6},
pages={291-308}
}

In a branching process with variable lifetime, introduced by Fildes (1972) define Yjk(t) as the number of particles alive in generation k at time t when the initial particle is born in generation j. A limit law similar to that derived in the Bellman-Harris process is proved where it is shown that Yjk (t) suitably normalised converges in mean square to a random variable which is the limit random variable of Znm-n in the Galton-Watson process (m is the mean number of particles born). AGE… CONTINUE READING