论文标题

加权马尔可夫分支过程的向下/向上交叉特性

The down/up crossing properties of weighted Markov branching processes

论文作者

Li, Yanyun, Li, Junping

论文摘要

我们考虑加权马尔可夫分支过程的向下/向上交叉特性。获得了此类过程的多交叉数量的联合概率分布。特别是,对于马尔可夫分支过程,给出了死亡人数的概率分布,对于散装排队排队模型,还给出了服务号和到达数字的联合概率分布。

We consider the down/up crossing property of weighted Markov branching processes. The joint probability distribution of multi crossing numbers of such processes are obtained. In particular, for Markov branching processes, the probability distribution of death number is given and for bulk-arrival queueing model, the joint probability distributions of service number and arrival number is also given.

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