Limit theorems for sums determined by branching and other exponentially growing processes

DOI10.1016/0304-4149(84)90311-9zbMath0532.60081OpenAlexW1969657280MaRDI QIDQ789111

Peter Jagers, Olle Nerman

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90311-9

zbMATH Keywords

predictionpopulationbranching processrare eventsupercritical Galton-Watson processtriangular array of characteristics

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

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• The supercritical multi-type crump and mode age-dependent model
• On the convergence of supercritical general (C-M-J) branching processes
• Limit theorems for point processes generated in a general branching process
• On single- and multi-type general age-dependent branching processes
• Uniformity in weak convergence
• An $L^p$-Convergence Theorem