Bounds for the quasi-stationary distribution of some specialized Markov chains

DOI10.1016/0895-7177(95)00190-DzbMath0835.60061OpenAlexW1982183969MaRDI QIDQ1905865

Masaaki Kijima

Publication date: 12 February 1996

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(95)00190-d

zbMATH Keywords

stationary distributionbirth-death processPerron-Frobenius theoremstochastic monotonicity

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (2)

ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS ⋮ Minimal quasi-stationary distributions under null \(R\)-recurrence

Cites Work

• Unnamed Item
• Convergence of quasi-stationary distributions in birth-death processes
• Non-negative matrices and Markov chains. 2nd ed
• Computation of the quasi-stationary distributions in \(M(n)/GI/1/K\) and \(GI/M(n)/1/K\) queues
• Monotone matrices and monotone Markov processes
• Markov chain models - rarity and exponentiality
• Convergence of quasi-stationary to stationary distributions for stochastically monotone Markov processes
• Spectral structure of the first-passage-time densities for classes of Markov chains
• Quasi-stationary distributions and one-dimensional circuit-switched networks
• Some results for quasi-stationary distributions of birth-death processes
• Quasi-limiting distributions of Markov chains that are skip-free to the left in continuous time
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains

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