Small value probabilities for supercritical branching processes with immigration
Small value probabilities for supercritical branching processes with immigration
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DOI：
10.3150/12-bej490
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发表时间：
2013-01
期刊：
影响因子：
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通讯作者：
Weijuan Chu;Wenbo V. Li;Yanxia Ren
中科院分区：
文献类型：
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作者：
Weijuan Chu;Wenbo V. Li;Yanxia Ren
We consider a supercritical Galton-Watson branching process with immigration. It is well known that under suitable conditions on the offspring and immigration distributions, there is a finite, strictly positive limit ${\mathcal{W}}$ for the normalized population size. Small value probabilities for ${\mathcal{W}}$ are obtained. Precise effects of the balance between offspring and immigration distributions are characterized.
