关于随机环境分枝过程存活概率的几个定理

Some Theorem of survival Probabilities of Branching Processes with Random Environments

通过对随机环境分枝过程灭绝概率的讨论,应用条件概率和条件期望的性质得到了关于存活概率的界,此结论可以确定该过程是否灭绝,对研究该过程的灭绝时是有帮助的。

The general model of branching processes in random environments was introduced and the bounds of extinction probability were obtained according to the conditional probability and conditional expectation. Thus the extinction of the branching processes could be decided and the result is useful for investigation on extinction time of branching processes in random environments.