On The Extinction Time Of Subcritical Branching Processes In Random Environment

Firstly, this paper introduces the development from GW branching processes to branching processes in random environment, some elementary theories about GW branching processes, and some primary conclusions about branching processes in random environments. In addition, on the study of the distribution of the extinction time of GW branching processes, branching processes in varying environment, branching processes in independent but non-identically distributed random environment and some important results are introduced, respectively. On these foundations, in this paper, the following works are done:1. This paper studies the distribution of the extinction time of branching processes in random environment, and obtains the bound of ψ(s):In this...