论文标题
关于移民的超临界分支过程
On Supercritical Branching Processes with Emigration
论文作者
论文摘要
我们在I.I.D的影响下研究超临界分支过程。移民组成部分。我们提供条件，根据该条件，该过程的寿命分别具有有限的期望。获得了新版本的Kesten-Stigum定理，并且较大的初始种群大小的灭绝概率与移民的尾巴行为有关。
We study supercritical branching processes under the influence of an i.i.d. emigration component. We provide conditions, under which the lifetime of the process is finite respectively has a finite expectation. A new version of the Kesten-Stigum theorem is obtained and the extinction probability for a large initial population size is related to the tail behaviour of the emigration.
