The bivariate maximum process and quasi-stationary structure of birth- death processes

DOI10.1016/0304-4149(86)90111-0zbMath0597.60065OpenAlexW2047030374MaRDI QIDQ1079294

Julian Keilson, Ravi Ramaswamy

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)90111-0

zbMATH Keywords

birth-death processconvergence of quasistationary distributions

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Limit theorems in probability theory (60F99)

Related Items (1)

The Relaxation time for truncated birth-death processes

Cites Work

• Convergence of quasi-stationary distributions in birth-death processes
• Markov chain models - rarity and exponentiality
• On exponential ergodicity and spectral structure for birth-death processes. I
• The Classification of Birth and Death Processes
• Uniform stochastic ordering and related inequalities
• Convergence of quasi-stationary to stationary distributions for stochastically monotone Markov processes
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains
• Spectral theory for the differential equations of simple birth and death processes

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