Supermartingale decomposition with a general index set

DOI10.1016/j.spa.2010.03.014zbMath1196.60064arXiv0812.1664OpenAlexW2105643361MaRDI QIDQ981011

Gianluca Cassese

Publication date: 8 July 2010

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

Full work available at URL: https://arxiv.org/abs/0812.1664

zbMATH Keywords

supermartingalesDoob-Meyer decompositionfinitely additive probabilityDoléans-Dade measurefinitely additive supermartingales

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) General theory of stochastic processes (60G07) Generalized stochastic processes (60G20)

Related Items (1)

Sure wins, separating probabilities and the representation of linear functionals

Cites Work

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• Finitely additive supermartingales
• Decomposition of supermartingales indexed by a linearly ordered set
• Set indexed strong martingales and path independent variation
• Sure wins, separating probabilities and the representation of linear functionals
• The optional sampling theorem for processes indexed by a partially ordered set
• The optional sampling theorem for martingales indexed by directed sets
• Stochastic integrals in the plane
• On Doleans-Follmer's measure for quasi-martingales
• Doob-Meyer decomposition for set-indexed submartingales
• Local time for processes indexed by a partially ordered set
• Stopping and set-indexed local martingales
• On the Doléans function of set-indexed submartingales
• A decomposition theorem for supermartingales
• On the representation of semimartingales
• Finitely Additive F-Processes
• Existence theorems for measures on continous posets, with applications to random set theory.
• [https://portal.mardi4nfdi.de/wiki/Publication:5549440 Existence du processus croissant naturel associ� � un potentiel de la classe (D)]
• [https://portal.mardi4nfdi.de/wiki/Publication:5646185 Th�orie des processus stochastiques g�n�raux applications aux surmartingales]
• Strong martingales: Their decompositions and quadratic variation

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