Robust estimation of superhedging prices
From MaRDI portal
Publication:2656605
DOI10.1214/20-AOS1966zbMath1459.91200arXiv1807.04211OpenAlexW3120966903MaRDI QIDQ2656605
Publication date: 11 March 2021
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.04211
robustnessconsistencyWasserstein metricstock returnsrisk measuresstatistical estimationempirical measurepricing-hedging dualitysuperhedging price
Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35) Applications of statistics to actuarial sciences and financial mathematics (62P05) Derivative securities (option pricing, hedging, etc.) (91G20)
Related Items
Neural network approximation for superhedging prices ⋮ Risk measures under model uncertainty: a Bayesian viewpoint ⋮ Robust discrete-time super-hedging strategies under AIP condition and under price uncertainty ⋮ A dynamic version of the super-replication theorem under proportional transaction costs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparative and qualitative robustness for law-invariant risk measures
- On the rate of convergence in Wasserstein distance of the empirical measure
- Qualitative and infinitesimal robustness of tail-dependent statistical functionals
- Set estimation under convexity type assumptions
- Aggregation-robustness and model uncertainty of regulatory risk measures
- On nonparametric estimation of density level sets
- The interpolation of options
- Financial options and statistical prediction intervals
- Robust pricing-hedging dualities in continuous time
- Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations
- Conservative delta hedging.
- Efficient estimation of monotone boundaries
- Asymptotical minimax recovery of sets with smooth boundaries
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- Estimation of non-sharp support boundaries
- Generalized Wasserstein distance and weak convergence of sublinear expectations
- Introduction to empirical processes and semiparametric inference
- On the Rate of Convergence of Empirical Measures in ∞-transportation Distance
- Law invariant risk measures have the Fatou property
- Robustness and sensitivity analysis of risk measurement procedures
- Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
- Volatility is rough
- Duality Formulas for Robust Pricing and Hedging in Discrete Time
- On boundary estimation
- Pointwise Arbitrage Pricing Theory in Discrete Time
- External Risk Measures and Basel Accords
- Evaluations of Risk Measures for Different Probability Measures
- A General Qualitative Definition of Robustness
- Robust risk aggregation with neural networks
- Stochastic finance. An introduction in discrete time
- Robust Statistics