A remark on moment-dependent phase transitions in high-dimensional Gaussian approximations

Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09) Large deviations (60F10) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

Unnamed Item
Unnamed Item
On the rate of convergence in the multivariate CLT
Notes on the dimension dependence in high-dimensional central limit theorems for hyperrectangles
Sets which determine the rate of convergence in the central limit theorem
Extremes and related properties of random sequences and processes
Convergence determining sets in the central limit theorem
Gaussian approximation for high dimensional time series
On the dependence of the Berry-Esseen bound on dimension
Beyond Gaussian approximation: bootstrap for maxima of sums of independent random vectors
Central limit theorem and bootstrap approximation in high dimensions: near \(1/\sqrt{n}\) rates via implicit smoothing
New Edgeworth-type expansions with finite sample guarantees
Improved central limit theorem and bootstrap approximations in high dimensions
Bootstrapping max statistics in high dimensions: near-parametric rates under weak variance decay and application to functional and multinomial data
High-dimensional CLT: improvements, non-uniform extensions and large deviations
Nonclassical Berry-Esseen inequalities and accuracy of the bootstrap
Central limit theorems and bootstrap in high dimensions
Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors
Central Limit Theorem in high dimensions: The optimal bound on dimension growth rate
Uniform Estimates of the Rate of Convergence in the Multi-Dimensional Central Limit Theorem
A Lyapunov-type Bound in R^d
Large deviations of sums of independent random variables
Nearly optimal central limit theorem and bootstrap approximations in high dimensions

This page was built for publication: A remark on moment-dependent phase transitions in high-dimensional Gaussian approximations