(Mathematics and Statistics) 1st Edition, Volume 1
by Götz Kersting (Author), Vladimir Vatutin (Author)
Branching processes are stochastic
processes which represent the reproduction of particles, such as
individuals within a population, and thereby model demographic
stochasticity. In branching processes in random environment (BPREs),
additional environmental stochasticity is incorporated, meaning that the
conditions of reproduction may vary in a random fashion from one
generation to the next.
This book offers an introduction to the
basics of BPREs and then presents the cases of critical and subcritical
processes in detail, the latter dividing into weakly, intermediate, and
strongly subcritical regimes.
