Convergence of critical multitype Galton-Watson branching processes

DOI10.1016/0304-4149(86)90040-2zbMath0608.60080OpenAlexW2054045237MaRDI QIDQ1085900

Tetsuo Nakagawa

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0304-4149(86)90040-2

zbMATH Keywords

convergence theorems for the finite-dimensional distributionscritical Galton-Watson processdiffusion type limit theoremsincreasing initial populationVatutin's infinite variance condition

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Branching processes. II ⋮ Scaling limit of the local time of the reflected \((1, 2)\)-random walk

Cites Work

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• Reverse processes and some limit theorems of multitype Galton-Watson processes
• Critical age-dependent branching process diffusions
• Necessary conditions for normed convergence of critical multitype Bienayme-Galton-Watson processes without variance
• On multitype branching processes with \(\rho\leq1\)
• On Convergence of Branching Processes to Diffusion Processes
• Convergence of critical Galton-Watson branching processes
• Weak convergence of probability measures and random functions in the function space D[0,∞)