Convex risk functionals: representation and applications
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Publication:2292181
DOI10.1016/j.insmatheco.2019.10.007zbMath1431.91340OpenAlexW2987526535WikidataQ126853399 ScholiaQ126853399MaRDI QIDQ2292181
Fangda Liu, Jun Cai, Ruodu Wang, Christiane Lemieux
Publication date: 3 February 2020
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2019.10.007
budget constraintdual representationoptimal reinsurance designlaw-invariant convex risk functionalrobust evaluation
Related Items (9)
Law-invariant functionals that collapse to the mean: beyond convexity ⋮ Automatic Fatou property of law-invariant risk measures ⋮ Parametric measures of variability induced by risk measures ⋮ Enhancing an insurer's expected value by reinsurance and external financing ⋮ Choquet Regularization for Continuous-Time Reinforcement Learning ⋮ OPTIMAL INSURANCE CONTRACTS UNDER DISTORTION RISK MEASURES WITH AMBIGUITY AVERSION ⋮ DISTORTION RISKMETRICS ON GENERAL SPACES ⋮ A decomposition of general premium principles into risk and deviation ⋮ Concave/convex weighting and utility functions for risk: a new light on classical theorems
Uses Software
Cites Work
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- Signed integral representations of comonotonic additive functionals
- Optimal reinsurance under VaR and CTE risk measures
- On convex principles of premium calculation
- Axiomatic characterization of insurance prices
- Convex measures of risk and trading constraints
- Pareto-optimal reinsurance arrangements under general model settings
- Upper bounds for strictly concave distortion risk measures on moment spaces
- Representation results for law invariant time consistent functions
- Optimal insurance design in the presence of exclusion clauses
- Optimal reinsurance with positively dependent risks
- Optimal reinsurance with general premium principles
- Generalized deviations in risk analysis
- Optimal reinsurance with regulatory initial capital and default risk
- Coherent Measures of Risk
- Dual Representation of Quasi-convex Conditional Maps
- Stochastic Finance
- Optimization in Function Spaces
- Maximum Entropy Principle with General Deviation Measures
- Choquet integration on Riesz spaces and dual comonotonicity
- Optimal Reinsurance Revisited – A Geometric Approach
- Optimal Retention for a Stop-loss Reinsurance Under the VaR and CTE Risk Measures
- A constraint-free approach to optimal reinsurance
- Characterizations of optimal reinsurance treaties: a cost-benefit approach
- Optimal reinsurance under general law-invariant risk measures
- Worst-Case Range Value-at-Risk with Partial Information
- Technical Note—Closed-Form Solutions for Worst-Case Law Invariant Risk Measures with Application to Robust Portfolio Optimization
- Budget-constrained optimal reinsurance design under coherent risk measures
- OPTIMAL RISK SHARING FOR LAW INVARIANT MONETARY UTILITY FUNCTIONS
- DISTRIBUTION‐INVARIANT RISK MEASURES, INFORMATION, AND DYNAMIC CONSISTENCY
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