The Annals of Probability, Vol. 2, No. 2 (Apr., 1974), pp. 339-343 (5 pages) Let $\mathbf{Z}(t) = (\mathbf{Z}_1(t), \cdots, \mathbf{Z}_k(t)), t \geqq 0$, be a ...
We consider a multitype population size dependent branching process in discrete time. A process is considered to be near-supercritical if the mean matrices of offspring distributions approach the mean ...