On the weak invariance principle for ortho-martingale in Banach spaces. Application to stationary random fields

DOI10.1016/j.spa.2022.08.003zbMath1498.60133OpenAlexW4281565400WikidataQ114130684 ScholiaQ114130684MaRDI QIDQ2080279

Han-Mai Lin, Florence Merlevède

Publication date: 7 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.spa.2022.08.003

zbMATH Keywords

random fieldinvariance principleempirical distribution functionWasserstein distance\(L^p\)-distancesortho-martingale approximation

Mathematics Subject Classification ID

Random fields (60G60) Functional limit theorems; invariance principles (60F17) (L^p)-limit theorems (60F25)

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