Stability of birth-and-death processes

DOI10.1007/BF02432876zbMath0915.60071MaRDI QIDQ1273379

Alexander I. Zejfman

Publication date: 10 December 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

stabilitybirth and death processperturbednonperturbed

Mathematics Subject Classification ID

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

Related Items (9)

On the nonstationary Erlang loss model ⋮ Stability and exponential convergence of continuous-time Markov chains ⋮ Perturbation bounds and truncations for a class of Markovian queues ⋮ Perturbation Bounds forM_t/M_t/NQueue with Catastrophes ⋮ On perturbation bounds for continuous-time Markov chains ⋮ On the ergodicity of some continuous-time Markov processes ⋮ On certain average characteristics of finite continuous-time Markov chains ⋮ Nonstationary Markovian queues ⋮ Exponential ergodicity and steady-state approximations for a class of markov processes under fast regime switching

Cites Work

• On strong ergodicity for nonhomogeneous continuous-time Markov chains
• Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
• Conditions for strong ergodicity using intensity matrices
• Some estimates of the rate of convergence for birth and death processes
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