Markovian point processes are known to approximate any point process arbitrarily closely as the size of the state space increases, but this asymptotic result is hard to utilize in practice. This talk focuses on the properties of Markovian point, terminating and branching processes with bounded state space.
We define such processes, introduce their basic analytical properties, and devote some attention to related moment matching and fitting problems.
Most related paper:
S. Hautphenne and M. Telek, “Extension of some MAP results to transient MAPs and markovian binary trees,” Performance Evaluation, vol. 70, no. 9, pp. 607 – 622, 2013.