On the equivalence of \(\mu\)-invariant measures for the minimal process and its q-matrix

DOI10.1016/0304-4149(86)90002-5zbMath0658.60099OpenAlexW2034754866MaRDI QIDQ1111245

Philip K. Pollett

Publication date: 1986

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(86)90002-5

zbMATH Keywords

invariant measuresminimal processquasistationary distributions

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (14)

Quasi-stationary distributions for queueing and other models ⋮ The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain ⋮ Decay parameter and related properties of \(n\)-type branching processes ⋮ The generalized Kolmogorov criterion ⋮ On the construction problem for single-exit Markov chains ⋮ On the existence of uni-instantaneous Q-processes with a given finite μ-invariant measure ⋮ The λ-classification of continuous-time birth-and-death processes ⋮ On the problem of evaluating quasistationary distributions for open reaction schemes ⋮ Decay parameter and related properties of 2-type branching processes ⋮ Approximations of quasi-stationary distributions for Markov chains. ⋮ Further results on the relationship between \(\mu\)-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains. ⋮ New methods for determining quasi-stationary distributions for Markov chains. ⋮ The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction ⋮ Quasi-stationary distributions for discrete-state models

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