The down/up crossing properties of weighted Markov branching processes

Yanyun Li; Junping Li

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arXiv · 2001.02353

The down/up crossing properties of weighted Markov branching processes

Yanyun Li·Junping Li

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Abstract

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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Yanyun Li, Junping Li. 2020-01-08. The down/up crossing properties of weighted Markov branching processes. https://arxiv.org/abs/2001.02353

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