Convergence in probability and almost sure with applications.

DOI10.1016/S0304-4149(01)00075-8zbMath1053.60092WikidataQ126353075 ScholiaQ126353075MaRDI QIDQ1888772

Harry Cohn

Publication date: 26 November 2004

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

zbMATH Keywords

martingaleslow variationweighted sumsweak lawsbranching random walksvarying environment

Mathematics Subject Classification ID

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

Related Items (2)

Multitype branching limit behavior ⋮ Weak laws of large numbers for cooperative gamblers

Cites Work

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• On the growth of the multitype supercritical branching process in a random environment
• A martingale approach to supercritical (CMJ) branching processes
• On a property related to convergence in probability and some applications to branching processes
• Supercritical multitype branching processes
• Limit theorems for the supercritical Galton-Watson process in varying environments
• General branching processes in varying environment
• Seneta-Heyde norming in the branching random walk
• On the convergence of multitype branching processes with varying environments
• Multi-type branching in varying environment
• On the convergence of supercritical general (C-M-J) branching processes
• On the limit behaviour of weighted sums of random variables
• Almost sure convergence of branching processes
• Chernoff's theorem in the branching random walk
• On the asymptotic behaviour of branching processes with infinite mean
• Convergence of weighted averages of independent random variables
• On Recent Theorems Concerning the Supercritical Galton-Watson Process
• Extension of a Result of Seneta for the Super-Critical Galton-Watson Process

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