共查询到17条相似文献,搜索用时 43 毫秒
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本文提出了一种带移民的碰撞分枝过程,它由三部分组成:马氏分枝过程、碰撞分枝过程和状态独立的移民过程,给出了该过程正则性和唯一性判别准则。 相似文献
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本文建立了随机环境中受控分枝过程模型.它是更一般意义下的随机环境中的分枝过程,在平稳遍历环境下,研究了其灭绝概率问题,通过对控制函数作适当的假设,利用平稳遗历过程的性质及概率母函数的迭代关系式,得到了判断过程灭绝的一个判定准则. 相似文献
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本文研究了控制函数独立同分布,并且第n代的繁殖情况取决于环境的随机环境中分枝过程.给出了该模型稳定的充分条件,当环境平稳遍历时,得到了过程几乎处处灭绝的充分条件. 相似文献
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本文研究了独立同分布的随机环境中的P-S-D分枝过程,获得了有关过程的渐近性态以及灭
绝概率的一些结果. 相似文献
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考虑了一类带有拯救的碰撞分枝过程,给出了过程的正则性与唯一性准则,并得到了常返性和遍历性的充要条件.同时,给出了指数遍历性的一个便于验证的充分条件. 相似文献
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Abstract Some classes of controlled branching processes (with nonhomo-geneous migration or with nonhomo-geneous 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 β and converges for 0 < β < 1. Now we show that the recurrence does converge for all positive values of the parameter β, 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. 相似文献
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I. Rahimov 《随机分析与应用》2013,31(5):925-940
Abstract We consider a model of age-dependent branching stochastic process that takes into account the incubation period of the life of individuals. We demonstrate that such processes may be treated as a two-type branching process with a periodic mean matrix. In the case when the Malthusian parameter does not exist study of the process requires additional restrictions on the life and incubation time distributions which define so called subexponential family (Athreya, K. 1972. Branching Processes, Springer, New York). We obtain certain new properties of subexponential distributions, in particular, describe a subclass, which is closed with respect to convolution. Using these results we derive asymptotic behavior of the first and second moments and of the probability of nonextinction. We also prove a limit theorem for the process conditioned on nonextinction. 相似文献
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This paper focuses on discussing some basic properties of the weighted Markov branching process which is a natural generalisation
of the ordinary Markov branching process. The regularity and uniqueness criteria, which are very easy to verify, are firstly
established. Some important characteristics regarding the hitting times of such structure are obtained. In particular, the
closed forms for the mean extinction time and conditional mean extinction time are presented. The explosion behaviour of the
process is investigated and then the mean explosion time is derived. The mean global holding time and the mean total survival
time are also obtained.
AMS 2000 Subject Classification Primary 60 J27; Secondary 60 J80 相似文献
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