The down/up crossing properties of weighted Markov branching processes

Authors :: Li, Yanyun
Li, Junping
Publication Year :: 2020
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.<br />Comment: 14 pages