Some properties of continuous-state branching processes, with applications to Bartoszyński’s virus model

DOI10.2307/1427050zbMath0562.92015OpenAlexW2495936140MaRDI QIDQ3675954

Anthony G. Pakes, A. C. Trajstman

Publication date: 1985

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427050

zbMATH Keywords

Lévy processpopulation sizecontinuous-state branching processconditioned limit theoremexistence of a last jump timegrowth of rabies virusrandomly time-transformed compound Poisson process

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures ⋮ Branching processes. II ⋮ Characterization by invariance under length-biasing and random scaling ⋮ Conditional limit theorems for critical continuous-state branching processes ⋮ Self-decomposable laws from continuous branching processes ⋮ Mechanisms of symptom in Bartoszyński's virus model ⋮ Maximum likelihood estimation in branching process with continuous state space

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