A decreasing step method for strongly oscillating stochastic models
From MaRDI portal
Publication:2341638
DOI10.1214/14-AAP1016zbMath1316.60111arXiv1210.2087MaRDI QIDQ2341638
Publication date: 27 April 2015
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.2087
stochastic approximationergodicitylimit distributionEuler schememulti-scale systemstrongly oscillating SDE
Central limit and other weak theorems (60F05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recursive computation of the invariant distribution of a diffusion
- Perturbation bounds for the Cholesky and QR factorizations
- Convergence en loi des suites d'integrales stochastiques sur l'espace \({\mathbb{D}}^ 1\) de Skorokhod. (Convergence in law of sequences of stochastic integrals on the Skorokhod space \({\mathbb{D}}^ 1)\)
- Weak limit theorems for stochastic integrals and stochastic differential equations
- On mixing and stability of limit theorems
- On polynomial mixing bounds for stochastic differential equations
- Asymptotic error distributions for the Euler method for stochastic differential equations
- On Poisson equation and diffusion approximation. II.
- On the Poisson equation and diffusion approximation. I
- On Sobolev solutions of Poisson equations in \(\mathbb R^d\) with a parameter
- A Fast Mean-Reverting Correction to Heston's Stochastic Volatility Model
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Second-order discretization schemes of stochastic differential systems for the computation of the invariant law
- Singular Perturbations in Option Pricing
- A mathematical framework for stochastic climate models
- Analysis of multiscale methods for stochastic differential equations