Infinitely subadditive capacities as upper envelopes of measures

DOI10.1007/BF00532649zbMath0553.28002OpenAlexW2067217238MaRDI QIDQ3346517

Bernd Anger, Jörn Lembcke

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00532649

zbMATH Keywords

infinitely subadditive capacitiesupper envelopes of probability measuresupper envelopes of weakly compact sets of measures

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Spaces of measures, convergence of measures (28A33) Convex sets in topological linear spaces; Choquet theory (46A55) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (10)

The necessity of strongly subadditive capacities for Neyman-Pearson minimax tests ⋮ Scoring rules for belief functions and imprecise probabilities: a comparison ⋮ Logics with lower and upper probability operators ⋮ Multi-agent logics for reasoning about higher-order upper and lower probabilities ⋮ Towards a unified view on logics for uncertainty ⋮ The sigma-core of a cooperative game ⋮ Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic ⋮ Lattices of capacities, and related topologies1 ⋮ Symmetric, coherent, Choquet capacities ⋮ An algebraic treatment of imprecise probabilities

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