A central limit theorem for the gossip process

DOI10.1214/18-EJP248zbMath1430.60079arXiv1706.05483OpenAlexW2963021208MaRDI QIDQ1722019

Adrian Roellin, Andrew David Barbour

Publication date: 14 February 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05483

zbMATH Keywords

branching processescentral limit theoremdeterministic approximationgossip process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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• Asymptotic behavior of Aldous' gossip process
• Exponential inequalities for martingales, with application to maximum likelihood estimation for counting processes
• When Knowing Early Matters: Gossip, Percolation and Nash Equilibria
• The threshold behaviour of epidemic models
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Mean-square and almost-sure convergence of supercritical age-dependent branching processes
• Asymptotic Behaviour of Gossip Processes and Small-World Networks
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

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