A necessary and sufficient condition for noncertain extinction of a branching process in a random environment (BPRE)

DOI10.1016/0304-4149(84)90019-XzbMath0523.60080MaRDI QIDQ1056472

J. Blot

Publication date: 1984

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

zbMATH Keywords

extinction probabilityrandom environments

Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Branching within branching: a model for host-parasite co-evolution ⋮ Branching processes. II ⋮ Ancestral inference for branching processes in random environments and an application to polymerase chain reaction ⋮ On weighted branching processes in random environment.

Cites Work

• Limit theorems for branching processes in a random environment
• A zero-one law for stationary sequences
• Galton-Watson processes in varying environments
• Necessary Conditions for Almost Sure Extinction of a Branching Process with Random Environment
• On Branching Processes in Random Environments
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Criteria for extinction of certain population growth processes with interacting types
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