Stochastic montonicity and duality for continuous time Markov chains with general \(q\)-matrix. (English) Zbl 0946.60076
The paper reviewed above was devoted to the problem of existence and uniqueness of a stochastically monotone continuous time Markov chain with given the \(q\)-matrix, under the assumption that \(q\)-matrix is conservative. In the present work, this assumption is removed and existence and uniqueness criteria are given for such more general situation. It is shown how the target Markov chain can be constructed. Results are illustrated with several examples.
Reviewer: E.Kazarovitsky (Kyïv)
MSC:
60J27 | Continuous-time Markov processes on discrete state spaces |
60J35 | Transition functions, generators and resolvents |