Large-dimensional central limit theorem with fourth-moment error bounds on convex sets and balls
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Publication:6590452
DOI10.1214/23-AAP2014zbMATH Open1546.60047MaRDI QIDQ6590452
Publication date: 21 August 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Central limit and other weak theorems (60F05) Approximations to statistical distributions (nonasymptotic) (62E17)
Cites Work
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- Covariance estimation for distributions with \({2+\varepsilon}\) moments
- Gaussian approximation of suprema of empirical processes
- Concentration inequalities and moment bounds for sample covariance operators
- Asymptotic equivalence for inference on the volatility from noisy observations
- Sharp bounds on the rate of convergence of the empirical covariance matrix
- On the rate of convergence in the multivariate CLT
- Rates of convergence for multivariate normal approximation with applications to dense graphs and doubly indexed permutation statistics
- Bootstrap confidence sets under model misspecification
- Bootstrap consistency for quadratic forms of sample averages with increasing dimension
- Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
- Asymptotic behavior of likelihood methods for exponential families when the number of parameters tends to infinity
- Bootstrap procedures under some non-i.i.d. models
- Bootstrap methods: another look at the jackknife
- The reverse isoperimetric problem for Gaussian measure
- Asymptotic normality of quadratic forms with random vectors of increasing dimension
- Jackknife, bootstrap and other resampling methods in regression analysis
- On the dependence of the Berry-Esseen bound on dimension
- Central limit theorem and bootstrap approximation in high dimensions: near \(1/\sqrt{n}\) rates via implicit smoothing
- Improved central limit theorem and bootstrap approximations in high dimensions
- New error bounds in multivariate normal approximations via exchangeable pairs with applications to Wishart matrices and fourth moment theorems
- Robust inference via multiplier bootstrap
- 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
- Nonclassical Berry-Esseen inequalities and accuracy of the bootstrap
- High-dimensional central limit theorems by Stein's method
- Multivariate second order Poincaré inequalities for Poisson functionals
- Large ball probabilities, Gaussian comparison and anti-concentration
- A multivariate Berry-Esseen theorem with explicit constants
- Linear hypothesis testing for high dimensional generalized linear models
- Central limit theorems and bootstrap in high dimensions
- A high-dimensional CLT in \(\mathcal {W}_2\) distance with near optimal convergence rate
- Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors
- The central limit theorem for dependent random variables
- On Stein’s method for multivariate normal approximation
- Sample Covariance Matrices of Heavy-Tailed Distributions
- High-Dimensional Probability
- A Lyapunov-type Bound in Rd
- Pearson’s chi-squared statistics: approximation theory and beyond
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