Stein kernels and moment maps
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Publication:2327943
DOI10.1214/18-AOP1305zbMath1466.60044arXiv1804.04699OpenAlexW2963228295MaRDI QIDQ2327943
Publication date: 8 October 2019
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.04699
Related Items (19)
Notes on the dimension dependence in high-dimensional central limit theorems for hyperrectangles ⋮ Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels ⋮ Coordinate-wise transformation of probability distributions to achieve a Stein-type identity ⋮ On infinite covariance expansions ⋮ First-order covariance inequalities via Stein's method ⋮ Stein's method for functions of multivariate normal random variables ⋮ Stein's density method for multivariate continuous distributions ⋮ A variant of Caffarelli's contraction theorem for probability distributions of negative powers ⋮ Covariance representations, \(L^p\)-Poincaré inequalities, Stein's kernels, and high-dimensional CLTs ⋮ Stein's method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem ⋮ The CLT in high dimensions: quantitative bounds via martingale embedding ⋮ Higher-order Stein kernels for Gaussian approximation ⋮ Malliavin-Stein method: a survey of some recent developments ⋮ High-dimensional central limit theorems by Stein's method ⋮ Stein's method of normal approximation: some recollections and reflections ⋮ Wasserstein distance error bounds for the multivariate normal approximation of the maximum likelihood estimator ⋮ Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one ⋮ Improved central limit theorem and bootstrap approximations in high dimensions ⋮ Relaxing the Gaussian assumption in shrinkage and SURE in high dimension
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