Limit theorems for generalized Jirina processes

作者:Li Yuqiang*
来源:Statistics & Probability Letters, 2009, 79(2): 158-164.
DOI:10.1016/j.spl.2008.07.040

摘要

It is proved by a new method that continuous state size-dependent branching processes converge almost surely to 0 or infinity under some mild conditions. In addition, these processes are almost surely extinct in the subcritical case.