Total Variation Approximation for Quasi-Stationary Distributions

DOI10.1239/jap/1294170510zbMath1213.60126arXiv1004.2252OpenAlexW2003478454MaRDI QIDQ3067837

Andrew David Barbour, Philip K. Pollett

Publication date: 13 January 2011

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

Full work available at URL: https://arxiv.org/abs/1004.2252

zbMATH Keywords

quasi-stationary distributionstochastic logistic modeltotal variation distance

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

• Markov mortality models: implications of quasistationarity and varying initial distributions
• Quasi-stationary distributions and diffusion models in population dynamics
• Continuous-time Markov chains. An applications-oriented approach
• Existence of quasi-stationary distributions: A renewal dynamical approach
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• Uniform rates of convergence for Markov chain transition probabilities
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• The pseudo-transient distribution and its uses in genetics
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