Domain of Attraction of the Quasistationary Distribution for Birth-and-Death Processes

DOI10.1239/jap/1363784428zbMath1282.60088OpenAlexW2051810419MaRDI QIDQ4918567

Hanjun Zhang, Yixia Zhu

Publication date: 25 April 2013

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jap/1363784428

zbMATH Keywords

domain of attractionquasi-stationary distributionbirth-and-death processes

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (3)

Exponential convergence to a quasi-stationary distribution for birth–death processes with an entrance boundary at infinity ⋮ A non‐conservative Harris ergodic theorem ⋮ Domain of attraction of quasi-stationary distribution for absorbing Markov processes

Cites Work

• Domain of attraction of the quasi-stationary distribution for the linear birth and death process
• The birth and death processes as diffusion processes
• On orthogonal polynomials with positive zeros and the associated kernel polynomials
• Continuous-time Markov chains. An applications-oriented approach
• Existence of quasi-stationary distributions: A renewal dynamical approach
• Existence, uniqueness, and constructions for stochastically monotone \(Q\)-processes
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• The Classification of Birth and Death Processes
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• Quasi-stationary distributions of birth-and-death processes
• Quasi-stationary laws for Markov processes: examples of an always proximate absorbing state
• The Exponential Decay of Markov Transition Probabilities

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