Normal approximation by Stein's method under sublinear expectations
From MaRDI portal
Publication:2309589
DOI10.1016/j.spa.2019.08.005zbMath1434.60078arXiv1711.05384OpenAlexW2971219793MaRDI QIDQ2309589
Publication date: 1 April 2020
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05384
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
Related Items
Distributional Uncertainty of the Financial Time Series Measured by $G$-Expectation ⋮ Stein's method for the law of large numbers under sublinear expectations ⋮ Discrete‐time approximation for stochastic optimal control problems under the G‐expectation framework ⋮ A strong law of large numbers under sublinear expectations ⋮ A probability approximation framework: Markov process approach ⋮ Equivalent conditions of complete convergence and Marcinkiewicz-Zygmund-type strong law of large numbers for i.i.d. sequences under sub-linear expectations ⋮ Nonparametric estimation of trend for stochastic processes driven by \(G\)-Brownian motion with small noise ⋮ A universal robust limit theorem for nonlinear Lévy processes under sublinear expectation ⋮ A hypothesis-testing perspective on the \(G\)-normal distribution theory ⋮ Explicit positive solutions to \(G\)-heat equations and the application to \(G\)-capacities ⋮ On Shige Peng's central limit theorem ⋮ \( G\)-expectation approach to stochastic ordering ⋮ Complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables under sub-linear expectations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stein type characterization for \(G\)-normal distributions
- Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
- Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations
- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- Normal Approximation by Stein’s Method
- On the regularity theory of fully nonlinear parabolic equations: I
- Nonlinear Expectations and Stochastic Calculus under Uncertainty