Convergence of quasi-stationary distributions in birth-death processes

DOI10.1016/0304-4149(84)90302-8zbMath0558.60066OpenAlexW1970251133MaRDI QIDQ762840

Ravi Ramaswamy, Julian Keilson

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90302-8

zbMATH Keywords

asymptotic distributionquasi-stationary distributionergodic birth-death process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

The bivariate maximum process and quasi-stationary structure of birth- death processes ⋮ Monotone infinite stochastic matrices and their augmented truncations ⋮ Bounds for the quasi-stationary distribution of some specialized Markov chains ⋮ LINEAR BIRTH/IMMIGRATION-DEATH PROCESS WITH BINOMIAL CATASTROPHES ⋮ Asymptotic persistence time formulae for multitype birth–death processes ⋮ Approximating Quasistationary Distributions of Birth–Death Processes ⋮ A note on quasi-stationary distributions of birth–death processes and the SIS logistic epidemic ⋮ The Relaxation time for truncated birth-death processes

Cites Work

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• Monotone matrices and monotone Markov processes
• Markov chain models - rarity and exponentiality
• Non-negative matrices and Markov chains.
• On exponential ergodicity and spectral structure for birth-death processes. I
• The Classification of Birth and Death Processes
• Uniform stochastic ordering and related inequalities
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains

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