English

The down/up crossing properties of weighted Markov branching processes

Probability 2020-04-20 v4

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.

Keywords

Cite

@article{arxiv.2001.02353,
  title  = {The down/up crossing properties of weighted Markov branching processes},
  author = {Yanyun Li and Junping Li},
  journal= {arXiv preprint arXiv:2001.02353},
  year   = {2020}
}

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14 pages