MULTIVARIATE RISK MEASURES: A CONSTRUCTIVE APPROACH BASED ON SELECTIONS
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Publication:2831005
DOI10.1111/mafi.12078zbMath1368.91183arXiv1301.1496OpenAlexW2158054781MaRDI QIDQ2831005
Ignacio Cascos, Ilya S. Molchanov
Publication date: 1 November 2016
Published in: Mathematical Finance (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.1496
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Uses Software
Cites Work
- Unnamed Item
- Set-valued average value at risk and its computation
- On multivariate extensions of value-at-risk
- Link-save trading
- Markets with transaction costs. Mathematical theory.
- A unified framework for utility maximization problems: An Orlicz space approach
- Multivariate risks and depth-trimmed regions
- On convex risk measures on \(L^{p}\)-spaces
- Integrals, conditional expectations, and martingales of multivalued functions
- Hedging and liquidation under transaction costs in currency markets
- Vector-valued coherent risk measures
- Set-valued risk measures for conical market models
- Measuring risk with multiple eligible assets
- Risk measuring under model uncertainty
- Dilatation monotone risk measures are law invariant
- Bounds for functions of multivariate risks
- Consistent risk measures for portfolio vectors
- Coherent Measures of Risk
- Vector Optimization with Infimum and Supremum
- Law invariant risk measures on L ∞ (ℝ d )
- RISK MEASURES ON ORLICZ HEARTS
- Differentiability Properties of Utility Functions
- Duality for Set-Valued Measures of Risk
- Law invariant convex risk measures for portfolio vectors
- Hedging of Claims with Physical Delivery under Convex Transaction Costs
- Law invariant risk measures have the Fatou property
- Multidimensional Coherent and Convex Risk Measures
- Duality for General Lipschitz Classes and Applications
- The Fundamental Theorem of Asset Pricing under Proportional Transaction Costs in Finite Discrete Time
- Fatou's Lemma for Multifunctions with Unbounded Values
- COMONOTONIC MEASURES OF MULTIVARIATE RISKS
- VECTOR-VALUED COHERENT RISK MEASURE PROCESSES
- Risk Preferences and Their Robust Representation
- Banach Spaces of Lipschitz Functions and Vector-Valued Lipschitz Functions
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