论文标题
在不同环境中的Galton-Watson过程的缩放限制定理
A scaling limit theorem for Galton-Watson processes in varying environments
论文作者
论文摘要
我们证明了在不同环境中离散的Galton-Watson过程的缩放限制定理。根据概率生成函数，给出了Skorokhod空间中弱收敛的简单条件。极限定理引起了几位作者最近研究的不同环境中的连续状态分支过程。
We prove a scaling limit theorem for discrete Galton-Watson processes in varying environments. A simple sufficient condition for the weak convergence in the Skorokhod space is given in terms of probability generating functions. The limit theorem gives rise to the continuous-state branching processes in varying environments studied recently by several authors.
