Central limit theorem for supercritical binary homogeneous Crump-Mode-Jagers processes

DOI10.1051/ps/2016029zbMath1394.60017arXiv1509.06583OpenAlexW2964121730MaRDI QIDQ4578044

Benoit Henry

Publication date: 7 August 2018

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06583

zbMATH Keywords

Lévy processescentral limit theorembranching processscale functionCrump-Mode-Jagers processlinear birth-death processsplitting tree

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Applications of branching processes (60J85) Markov renewal processes, semi-Markov processes (60K15)

Related Items (1)

Approximation of the allelic frequency spectrum in general supercritical branching populations

Cites Work

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• Moments of the frequency spectrum of a splitting tree with neutral Poissonian mutations
• Scaling limits via excursion theory: interplay between Crump-Mode-Jagers branching processes and processor-sharing queues
• Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling
• Splitting trees with neutral Poissonian mutations. I: Small families
• Convergence rates for branching processes
• Size-biased and conditioned random splitting trees
• Birth and death processes with neutral mutations
• Splitting trees with neutral Poissonian mutations. II: Largest and oldest families
• The contour of splitting trees is a Lévy process
• Fluctuations of Lévy processes with applications. Introductory lectures
• Rate of convergence in the law of large numbers for supercritical general multi-type branching processes
• On the convergence of supercritical general (C-M-J) branching processes
• On a relationship between processor-sharing queues and Crump–Mode–Jagers branching processes
• A Crump-Mode-Jagers Branching Process Model of Prion Loss in Yeast
• Limit theorems for multitype continuous time Markov branching processes
• A rate of convergence result for the super-critical Galton-Watson process
• Some central limit analogues for supercritical Galton-Watson processes

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