Analysis of a recurrence related to critical nonhomogeneous branching processes
Analysis of a recurrence related to critical nonhomogeneous branching processes
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DOI：
10.1080/07362990500397426
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发表时间：
2006-01-01
影响因子：
1.3
通讯作者：
Yanev, NM
中科院分区：
文献类型：
--
作者：
Drmota, M;Louchard, G;Yanev, NM
Some classes of controlled branching processes (with nonhomogeneous migration or with nonhomogeneous state-dependent immigration) lead in the critical case to a recurrence for the extinction probabilities. Under some additional conditions it is known that this recurrence depends on some parameter beta and converges for 0 < beta < 1. Now we show that the recurrence does converge for all positive values of the parameter beta, which leads to an extension of some limit theorems for the corresponding branching processes. We also give a generalization of the recurrence and an asymptotic analysis of its behavior.
