Family size order statistics in branching processes with immigration

DOI10.1080/07362990008809690zbMath0967.60085OpenAlexW2091698045MaRDI QIDQ4495505

Chris P. Tsokos, George P. Yanev

Publication date: 23 August 2001

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

Full work available at URL: https://doi.org/10.1080/07362990008809690

zbMATH Keywords

order statisticsbranching processesextreme valuesimmigrationmax-stability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Limit Theorems for the Size of Subpopulation of Productive Individuals ⋮ Random Sums of Independent Indicators and Generalized Reduced Processes ⋮ Limit theorems for critical Galton-Watson processes with immigration stopped at zero

Cites Work

• Limit theorems for the integrals of some branching processes
• Asymptotic properties of supercritical branching processes I: The Galton-Watson process
• A limit theorem for the maxima of the para-critical simple branching process
• Branching processes with immigration
• A branching process with a state dependent immigration component
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