Donsker-type theorem for BSDEs: rate of convergence
From MaRDI portal
Publication:2040042
DOI10.3150/20-BEJ1259zbMath1480.60152arXiv1908.01188OpenAlexW3155163548WikidataQ109746644 ScholiaQ109746644MaRDI QIDQ2040042
Christel Geiss, Céline Labart, Stefan Geiss, Philippe Briand
Publication date: 9 July 2021
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01188
finite difference schemebackward stochastic differential equationsconvergence rateWasserstein distanceDonsker's theoremscaled random walk
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Functional limit theorems; invariance principles (60F17)
Related Items (4)
Quantitative control of Wasserstein distance between Brownian motion and the Goldstein-Kac telegraph process ⋮ Numerical methods for backward stochastic differential equations: a survey ⋮ Stability of backward stochastic differential equations: the general Lipschitz case ⋮ Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized fractional smoothness and \(L_p\)-variation of BSDEs with non-Lipschitz terminal condition
- Adapted solution of a backward stochastic differential equation
- Asymptotic constants for minimal distance in the central limit theorem
- Upper bounds for minimal distances in the central limit theorem
- Geometric theory of semilinear parabolic equations
- A numerical scheme for BSDEs
- On the robustness of backward stochastic differential equations.
- The rate of convergence of the binomial tree scheme
- Representation theorems for backward stochastic differential equations
- Random walk approximation of BSDEs with Hölder continuous terminal condition
- A monotone scheme for high-dimensional fully nonlinear PDEs
- On viscosity solutions of path dependent PDEs
- Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
- Representation of solutions to BSDEs associated with a degenerate FSDE
- \(L^p\) solutions of backward stochastic differential equations.
- Numerical algorithms for backward stochastic differential equations with 1-d brownian motion: Convergence and simulations
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- METRIC DISTANCES IN SPACES OF RANDOM VARIABLES AND THEIR DISTRIBUTIONS
- Backward Stochastic Differential Equations in Finance
- Probabilistic methods for semilinear partial differential equations. Applications to finance
- Backward Stochastic Differential Equations
- Error Bounds for Monotone Approximation Schemes for Hamilton--Jacobi--Bellman Equations
- Donsker-type theorem for BSDEs
This page was built for publication: Donsker-type theorem for BSDEs: rate of convergence