On almost sure convergence of amarts and martingales without the Radon- Nikodym property

DOI10.1007/BF01246628zbMath0644.60008MaRDI QIDQ1102615

Valeria Marraffa

Publication date: 1988

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

zbMATH Keywords

amartBochner integrablebounded stopping timesrandom variables taking values in a Banach space

Mathematics Subject Classification ID

Martingales and classical analysis (60G46) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

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• Amarts: A class of asymptotic martingales. A: Discrete parameter
• Amarts indexed by directed sets
• Derivation, L Ψ -Bounded Martingales and Covering Conditions
• Convergence of Classes of Amarts Indexed by Directed Sets
• On convergence of vector-valued asymptotic martingales

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