Conditions for the existence of quasi-stationary distributions for birth-death processes with killing

DOI10.1016/j.spa.2012.03.014zbMath1253.60091OpenAlexW2135226696MaRDI QIDQ429295

Erik A. van Doorn

Publication date: 19 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.spa.2012.03.014

zbMATH Keywords

orthogonal polynomialsquasi-stationary distributionbirth and death process with killing

Mathematics Subject Classification ID

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

Related Items (7)

Markov branching processes with killing and resurrection ⋮ Asymptotic behavior and quasi-limiting distributions on time-fractional birth and death processes ⋮ Exponential convergence to quasi-stationary distribution and \(Q\)-process ⋮ Uniqueness and Decay Properties of Markov Branching Processes with Disasters ⋮ General criteria for the study of quasi-stationarity ⋮ Families of \(\nu\)-similar birth-death processes and limiting conditional distributions ⋮ Quasi-stationary distributions for discrete-state models

Cites Work

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• On Oscillation Properties and the Interval of Orthogonality of Orthogonal Polynomials
• Quasistationary distributions for one-dimensional diffusions with killing
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• Quasi-stationary laws for Markov processes: examples of an always proximate absorbing state
• Extinction Probability in A Birth-Death Process with Killing
• ORTHOGONAL POLYNOMIALS ON ℝ⁺ AND BIRTH-DEATH PROCESSES WITH KILLING
• Uniqueness criteria for continuous-time Markov chains with general transition structures
• SOME LIMIT THEOREMS FOR EVANESCENT PROCESSES
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