\(\mathfrak{S}\)-uniform scalar integrability and strong laws of large numbers for Pettis integrable functions with values in a separable locally convex space

DOI10.1023/A:1007782825974zbMath1425.60006OpenAlexW284375402MaRDI QIDQ2320367

Charles Castaing, Paul Raynaud de Fitte

Publication date: 22 August 2019

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

Full work available at URL: https://doi.org/10.1023/a:1007782825974

zbMATH Keywords

strong law of large numbersYoung measuresKantorovich functionalpairwise independentPettis\(\mathfrak{S}\)-uniformly scalarly integrableLévy-Wasserstein metricSkorokhod's representation

Mathematics Subject Classification ID

Strong limit theorems (60F15) Vector-valued set functions, measures and integrals (28B05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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