The Markov branching process with density-independent catastrophes I. Behaviour of extinction probabilities

DOI10.1017/S0305004100064938zbMath0641.60089MaRDI QIDQ3782562

Anthony G. Pakes

Publication date: 1988

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

extinction probabilitysub-exponential distributionssupercritical Markov branching processtrimming by catastrophes

Mathematics Subject Classification ID

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

Related Items (5)

The Markov branching process with density-independent catastrophes. II. The subcritical and critical cases ⋮ Branching processes. II ⋮ Maximum likelihood estimation in birth-death process allowing catastrophes ⋮ Poisson representations of branching Markov and measure-valued branching processes ⋮ On supercritical branching processes with emigration

Cites Work

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• Limit theorems for Galton-Watson branching processes with migration
• Subexponential distributions and dominated-variation tails
• Subexponentiality and infinite divisibility

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