An age dependent branching process with variable lifetime distribution: The generation size
- 1 June 1974
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 6 (2) , 291-308
- https://doi.org/10.2307/1426294
Abstract
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).Keywords
This publication has 1 reference indexed in Scilit:
- An age dependent branching process with variable lifetime distributionAdvances in Applied Probability, 1972