The Markov branching process with density-independent catastrophes. III. The supercritical case

DOI10.1017/S0305004100068444zbMath0768.60073MaRDI QIDQ4710968

Anthony G. Pakes

Publication date: 25 June 1992

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

zbMATH Keywords

Markov branching processcatastrophescritical casessupercritical casedensity-independent

Mathematics Subject Classification ID

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

Related Items (3)

Branching processes. II ⋮ Poisson representations of branching Markov and measure-valued branching processes ⋮ On supercritical branching processes with emigration

Cites Work

• Unnamed Item
• The Markov branching-castastrophe process
• Limit theorems for the population size of a birth and death process allowing catastrophes
• Quasi-stationary distributions for absorbing continuous-time denumerable Markov chains
• 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
• Strong Renewal Theorems with Infinite Mean

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