A complementary note on the supercritical birth, death and catastrophe process

DOI10.1007/BF00275815zbMath0721.60094OpenAlexW2017689245WikidataQ113909270 ScholiaQ113909270MaRDI QIDQ2641013

Anthony G. Pakes

Publication date: 1989

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00275815

zbMATH Keywords

central limit theoremcatastrophe componentsupercritical linear birth and death process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Branching processes. II ⋮ Extinction times and size of the surviving species in a two-species competition process

Cites Work

• Limit theorems for the population size of a birth and death process allowing catastrophes
• The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction
• The Markov branching process with density-independent catastrophes. II. The subcritical and critical cases
• The asymptotic behaviour of birth and death and some related processes

This page was built for publication: A complementary note on the supercritical birth, death and catastrophe process