RISK MEASURES ON P(R) AND VALUE AT RISK WITH PROBABILITY/LOSS FUNCTION

DOI10.1111/mafi.12028zbMath1304.91102arXiv1201.2257OpenAlexW2299681696MaRDI QIDQ2875724

Ilaria Peri, Marco Maggis, Marco Frittelli

Publication date: 11 August 2014

Published in: Mathematical Finance (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2257

zbMATH Keywords

quantilesdistribution functionsquasi-convex functionsvalue at riskdual representationlaw invariant risk measures

Mathematics Subject Classification ID

Related Items (14)

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Cites Work

• Unnamed Item
• Unnamed Item
• Continuity properties of law-invariant (quasi-)convex risk functions on \(L^{\infty}\)
• Coherent Measures of Risk
• Complete Monotone Quasiconcave Duality
• Dual Representation of Quasi-convex Conditional Maps
• CONDITIONAL CERTAINTY EQUIVALENT
• RISK MEASURES: RATIONALITY AND DIVERSIFICATION
• Law invariant risk measures have the Fatou property
• Duality for the level sum of quasiconvex functions and applications
• THE CANONICAL MODEL SPACE FOR LAW‐INVARIANT CONVEX RISK MEASURES IS L¹
• Risk Preferences and Their Robust Representation
• DISTRIBUTION‐INVARIANT RISK MEASURES, INFORMATION, AND DYNAMIC CONSISTENCY
• On Quasi-Convex Duality
• On Conjugate Convex Functions

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