From Empirical Observations to Tree Models for Stochastic Optimization: Convergence Properties
From MaRDI portal
Publication:2817839
DOI10.1137/15M1043376zbMath1346.90645OpenAlexW2510082327WikidataQ59254846 ScholiaQ59254846MaRDI QIDQ2817839
Alois Pichler, Georg Ch. Pflug
Publication date: 2 September 2016
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1043376
Applications of statistics to actuarial sciences and financial mathematics (62P05) Probability measures on topological spaces (60B05) Stochastic programming (90C15)
Related Items
On the number of stages in multistage stochastic programs, Approximation of martingale couplings on the line in the adapted weak topology, Dynamic optimization with side information, Deep empirical risk minimization in finance: Looking into the future, Heterogeneous gradient flows in the topology of fibered optimal transport, Adapted topologies and higher rank signatures, Fundamental properties of process distances, One Dimensional Martingale Rearrangement Couplings, All adapted topologies are equal, Evaluation of scenario reduction algorithms with nested distance, Incorporating statistical model error into the calculation of acceptability prices of contingent claims, Stochastic short-term hydropower planning with inflow scenario trees, Adapted Wasserstein distances and stability in mathematical finance, Bias Reduction in Sample-Based Optimization, Estimating processes in adapted Wasserstein distance, Quantitative stability analysis for minimax distributionally robust risk optimization, A stability result for linear Markovian stochastic optimization problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generating Scenario Trees for Multistage Decision Problems
- Time-inconsistent multistage stochastic programs: martingale bounds
- Consistency of the kernel density estimator: a survey
- The oscillation behavior of empirical processes: The multivariate case
- Quantitative concentration inequalities for empirical measures on non-compact spaces
- Dynamic generation of scenario trees
- Simulation and optimization approaches to scenario tree generation
- Scenario tree modeling for multistage stochastic programs
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
- Scenario reduction algorithms in stochastic programming
- Deconvolution for the Wasserstein metric and geometric inference
- Foundations of quantization for probability distributions
- Scenario tree reduction for multistage stochastic programs
- Event tree based sampling
- Uniform in bandwidth consistency of kernel-type function estimators
- Time-Consistent Decisions and Temporal Decomposition of Coherent Risk Functionals
- Multistage Stochastic Optimization
- A general duality theorem for the Monge–Kantorovich transport problem
- A Distance For Multistage Stochastic Optimization Models
- Functional quantization for numerics with an application to option pricing
- Version-Independence and Nested Distributions in Multistage Stochastic Optimization
- Cross-validation in density estimation
- A QUANTIZATION TREE METHOD FOR PRICING AND HEDGING MULTIDIMENSIONAL AMERICAN OPTIONS
- Introduction to nonparametric estimation
- Scenario tree generation for multiperiod financial optimization of optimal discretization