Uniform amarts: A class of asymptotic martingales for which strong almost sure convergence obtains

DOI10.1007/BF00534238zbMath0391.60005OpenAlexW2092157224WikidataQ56565308 ScholiaQ56565308MaRDI QIDQ4172683

Alexandra Ionescu Tulcea

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534238

zbMATH Keywords

MartingalesRadon-Nikodym PropertyAmartProbability in Banach SpacesQuasimartingales

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Convergence of probability measures (60B10)

Related Items (17)

GENERALIZED COMONOTONICALLY ADDITIVE OPERATORS: REPRESENTATIONS BY CHOQUET INTEGRALS ⋮ Unnamed Item ⋮ Convergence theorems for set-valued amarts and uniform amarts ⋮ The Andersen-Jessen theorem revisited ⋮ Unnamed Item ⋮ Strong law of large numbers for adapted sequences and application to multivalued supermartingale ⋮ On Convergence and Closedness of Multivalued Martingales ⋮ Decomposition and representation theorem of set-valued amarts ⋮ On the Conditional Expectation and Convergence Properties of Random Sets ⋮ Convergence and lattice properties of a class of martingale-like sequences ⋮ Convergence theorems for adapted sequences of random sets ⋮ Unnamed Item ⋮ Essential (convex) closure of a family of random sets and its applications ⋮ Some remarks on pramarts and mils ⋮ Operator martingale decompositions and the Radon-Nikodým property in Banach spaces ⋮ A remark on a recent paper on the convergence of Amarts ⋮ An application of martingales in the limit to a problem in information science

Cites Work

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• A 'stopped' proof of convergence
• Amarts: A class of asymptotic martingales. A: Discrete parameter
• Limites projectives de mesures. Martingales. Applications
• On convergence of vector-valued asymptotic martingales
• The riesz decomposition for vector-valued amarts
• On vector-valued asymptotic martingales
• Several stability properties of the class of asymptotic martingales
• Pointwise convergence in terms of expectations
• Quasi-Martingales
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• Quasi-Martingales.
• Abstract Ergodic Theorems

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