How linear reinforcement affects Donsker's theorem for empirical processes

DOI10.1007/s00440-020-01001-9zbMath1478.60108arXiv2005.11986OpenAlexW3087345653MaRDI QIDQ2210751

Jean Bertoin

Publication date: 8 November 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11986

zbMATH Keywords

empirical processDonsker's theoremlinear reinforcementbridges with exchangeable increments

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)

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Multidimensional walks with random tendency ⋮ Limits of Pólya urns with innovations ⋮ Reinforced random walks under memory lapses

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