Central limit theorem and near classical Berry-Esseen rate for self normalized sums in high dimensions
From MaRDI portal
Publication:6178560
DOI10.3150/23-bej1597zbMath1530.60023arXiv2012.03758OpenAlexW4388513583MaRDI QIDQ6178560
Publication date: 16 January 2024
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.03758
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Empirical and multiplier bootstraps for suprema of empirical processes of increasing complexity, and related Gaussian couplings
- Self-normalized limit theorems: a survey
- Refined self-normalized large deviations for independent random variables
- Notes on the dimension dependence in high-dimensional central limit theorems for hyperrectangles
- Limit theorems for self-normalized large deviation
- Two moments suffice for Poisson approximations: The Chen-Stein method
- On the effect of random norming on the rate of convergence in the central limit theorem
- A Cramér type large deviation result for Student's \(t\)-statistic
- Self-normalized large deviations
- When is the Student \(t\)-statistic asymptotically standard normal?
- Donsker's theorem for self-normalized partial sums processes
- Self-normalized Cramér-type large deviations for independent random variables.
- An exponential nonuniform Berry-Esseen bound for self-normalized sums
- The Berry-Esseen bound for self-normalized sums
- Limit distributions of Studentized means.
- The Berry-Esseen bound for Student's statistic
- A Berry-Esséen bound for Student's statistic in the non-i. i. d. case
- Quantile coupling inequalities and their applications
- Central limit theorem and bootstrap approximation in high dimensions: near \(1/\sqrt{n}\) rates via implicit smoothing
- High-dimensional central limit theorems by Stein's method
- Limit distributions of self-normalized sums
- Central limit theorems and bootstrap in high dimensions
- Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors
- On the self-normalized Cramér-type large deviation
- A Remark on Stirling's Formula
- Central Limit Theorem in high dimensions: The optimal bound on dimension growth rate
- Self-Normalized Processes
- Further refinement of self-normalized Cramér-type moderate deviations
- On Bounds for Moderate Deviations for Student's Statistic
- Student's t-Test Under Symmetry Conditions
- The Influence of the Maximum Term in the Addition of Independent Random Variables
- An Inequality for Mill's Ratio
This page was built for publication: Central limit theorem and near classical Berry-Esseen rate for self normalized sums in high dimensions