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The down/up crossing properties of weighted Markov branching processes

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arxiv 2001.02353 v4 pith:GO5U57G4 submitted 2020-01-08 math.PR

The down/up crossing properties of weighted Markov branching processes

classification math.PR
keywords processesbranchingcrossingmarkovnumberprobabilitydistributiondown
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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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