Continuous-state branching processes, extremal processes and super-individuals

DOI10.1214/18-AIHP909zbMath1466.60176arXiv1611.06178OpenAlexW2962823809MaRDI QIDQ2320394

Chunhua Ma, Clément Foucart

Publication date: 22 August 2019

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06178

zbMATH Keywords

subordinatorinfinite variationextremal processcontinuous-state branching processsuper-exponential growthinfinite meanGrey martingalenon-linear renormalisation

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations ⋮ Limit theorems for continuous-state branching processes with immigration ⋮ Yaglom-type limit theorems for branching Brownian motion with absorption ⋮ Coalescences in continuous-state branching processes

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