A Special Family of Galton-Watson Processes with Explosions

DOI10.1007/978-3-319-31641-3_14zbMath1354.60101arXiv1502.07538OpenAlexW1552597524MaRDI QIDQ3179789

Alexey Lindo, Serik Sagitov

Publication date: 20 December 2016

Published in: Branching Processes and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07538

zbMATH Keywords

Gumbel distributionGalton-Watson processesexplosions

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

A critical branching process with immigration in varying environments ⋮ Linear fractional Galton-Watson processes in random environment and perpetuities ⋮ Some combinatorial aspects of discrete non-linear population dynamics ⋮ Additional aspects of the generalized linear-fractional branching process ⋮ On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes ⋮ Tail generating functions for extendable branching processes ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Rank-dependent Galton‒Watson processes and their pathwise duals

Cites Work

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• Tail generating functions for extendable branching processes
• Linear-fractional branching processes with countably many types
• Multitype Bienaymé–Galton–Watson processes escaping extinction
• Genealogy for supercritical branching processes
• Transformations of Galton-Watson processes and linear fractional reproduction

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