Fluctuation theorems for synchronization of interacting Pólya's urns

DOI10.1016/j.spa.2015.10.005zbMath1333.60201arXiv1407.5043OpenAlexW1856249175MaRDI QIDQ5962613

Ida Germana Minelli, Irene Crimaldi, Paolo Dai Pra

Publication date: 15 February 2016

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

Full work available at URL: https://arxiv.org/abs/1407.5043

zbMATH Keywords

synchronizationcentral limit theoremfluctuation theoreminteracting Pólya urnsstable convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Convergence of probability measures (60B10)

Related Items (14)

Interacting urns on a finite directed graph ⋮ An urn model with random multiple drawing and random addition ⋮ Interacting generalized Friedman's urn systems ⋮ Vertex reinforced random walks with exponential interaction on complete graphs ⋮ Generalized rescaled Pólya urn and its statistical application ⋮ The rescaled Pólya urn: local reinforcement and chi-squared goodness-of-fit test ⋮ Synchronization in Interacting Reinforced Stochastic Processes ⋮ Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization ⋮ Statistical test for an urn model with random multidrawing and random addition ⋮ Synchronization of reinforced stochastic processes with a network-based interaction ⋮ On a notion of partially conditionally identically distributed sequences ⋮ Synchronization and functional central limit theorems for interacting reinforced random walks ⋮ Interacting reinforced stochastic processes: statistical inference based on the weighted empirical means ⋮ Networks of reinforced stochastic processes: asymptotics for the empirical means

Cites Work

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• A Strong Form of Stable Convergence
• Bernard Friedman's Urn
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