The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction

DOI10.1016/0304-4149(89)90060-4zbMath0726.60084OpenAlexW2028589393MaRDI QIDQ804094

Anthony G. Pakes, Philip K. Pollett

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0304-4149(89)90060-4

zbMATH Keywords

quasi-stationary distributionMarkov branching processConditional limit theoremsMarkovian population process

Mathematics Subject Classification ID

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

Related Items (9)

The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction ⋮ The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain ⋮ Branching processes. II ⋮ The generalized Kolmogorov criterion ⋮ Quasi-stationary distributions and population processes ⋮ Extinction times and size of the surviving species in a two-species competition process ⋮ Markov branching processes with disasters: extinction, survival and duality to \(p\)-jump processes ⋮ A Note on Extinction Times for the General Birth, Death and Catastrophe Process ⋮ New methods for determining quasi-stationary distributions for Markov chains.

Cites Work

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