On the convergence of sequences of branching processes
From MaRDI portal
Publication:1239539
DOI10.1214/aop/1176996496zbMath0361.60062OpenAlexW2076261471MaRDI QIDQ1239539
Publication date: 1974
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176996496
Central limit and other weak theorems (60F05) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (43)
A scaling limit theorem for Galton-Watson processes in varying environments ⋮ A fluctuation type limit theorem for Jiřina processes with immigration ⋮ Probabilités et biologie ⋮ Scaling limits of population and evolution processes in random environment ⋮ Continuous-state branching processes with competition: duality and reflection at infinity ⋮ Branching processes. I ⋮ Asymptotic behaviour near extinction of continuous-state branching processes ⋮ Estimation of the mean for critical branching process and its bootstrap approximation ⋮ Critical Bellman-Harris branching processes starting with a large number of particles ⋮ A conditional functional limit theorem for decomposable branching processes with two types of particles ⋮ A Lamperti-type representation of continuous-state branching processes with immigration ⋮ A note on asymptotic behavior of critical Galton-Watson processes with immigration ⋮ On the asymptotic behavior of a subcritical branching process with immigration ⋮ A limit theorem for the contour process of conditioned Galton-Watson trees ⋮ Non-binary branching process and non-Markovian exploration process ⋮ Scaling limits of bisexual Galton–Watson processes ⋮ The coalescent point process of branching trees ⋮ Continuous-State Branching Processes with Immigration ⋮ Regenerative real trees ⋮ Approximation of a generalized continuous-state branching process with interaction ⋮ Branching processes in a Lévy random environment ⋮ Poisson representations of branching Markov and measure-valued branching processes ⋮ Extinction and exponential growth in random environments ⋮ Hereditary tree growth and Lévy forests ⋮ Continuous branching processes and spectral positivity ⋮ Coalescences in continuous-state branching processes ⋮ Continuity of a class of random time trnsformations ⋮ Limiting Distributions for Multitype Branching Processes ⋮ Continuum random trees and branching processes with immigration ⋮ Coagulation and universal scaling limits for critical Galton–Watson processes ⋮ Sample paths of continuous-state branching processes with dependent immigration ⋮ Diffusion approximation of near critical branching processes in fixed and random environment ⋮ Approximation of Fluctuations in a Sequence of Nearly Critical Branching Processes ⋮ On the boundary behavior of multi-type continuous-state branching processes with immigration ⋮ Limits of multiplicative inhomogeneous random graphs and Lévy trees: limit theorems ⋮ A conditioned continuous-state branching process with applications ⋮ Continuous-State Branching Processes and Self-Similarity ⋮ Approximation of the height process of a continuous state branching process with interaction ⋮ Optimal estimation for continuous state branching processes with discrete sampling. ⋮ Construction of continuous-state branching processes in varying environments ⋮ Branching processes in Lévy processes: The exploration process ⋮ Asymptotic behavior of local times of compound Poisson processes with drift in the infinite variance case ⋮ Extinction rate of continuous state branching processes in critical Lévy environments
This page was built for publication: On the convergence of sequences of branching processes
