Proof of Tomaszewski's conjecture on randomly signed sums
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Publication:2166335
DOI10.1016/j.aim.2022.108558zbMath1496.60006arXiv2006.16834OpenAlexW3038654277WikidataQ113880911 ScholiaQ113880911MaRDI QIDQ2166335
Publication date: 24 August 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16834
Related Items (3)
Probability Mass of Rademacher Sums Beyond One Standard Deviation ⋮ Some improved bounds in sampling discretization of integral norms ⋮ Unnamed Item
Cites Work
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- An asymptotically Gaussian bound on the Rademacher tails
- On the product of sign vectors and unit vectors
- Extremal probabilistic problems and Hotelling's \(T^ 2\) test under a symmetry condition
- An Edgeworth expansion for symmetric statistics
- Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces
- An Edgeworth expansion for symmetric finite population statistics
- Exact convergence rate and leading term in central limit theorem for Student's \(t\) statistic.
- Tomaszewski's problem on randomly signed sums, revisited
- A note on random signs
- On the volume of non-central sections of a cube
- A tight Gaussian bound for weighted sums of Rademacher random variables
- Tomaszewski's problem on randomly signed sums: breaking the 3/8 barrier
- Explicit rates of approximation in the CLT for quadratic forms
- Local tail bounds for functions of independent random variables
- A Robust Khintchine Inequality, and Algorithms for Computing Optimal Constants in Fourier Analysis and High-Dimensional Geometry
- Proximity of probability distributions in terms of Fourier-Stieltjes transforms
- On the Upper Bound for the Absolute Constant in the Berry–Esseen Inequality
- The Distribution of Rademacher Sums
- A note on optimal probability lower bounds for centered random variables
- A new series of conjectures and open questions in optimization and matrix analysis
- On normal approximations to symmetric hypergeometric laws
- Robust Solutions of Uncertain Quadratic and Conic-Quadratic Problems
- Half-Spaces with Influential Variable
- Improved Bound for Tomaszewski's Problem
- Biased halfspaces, noise sensitivity, and local Chernoff inequalities
- Student's t-Test Under Symmetry Conditions
- A Note on Symmetric Bernoulli Random Variables
- On Gaussian and Bernoulli covariance representations
- Local concentration inequalities and Tomaszewski’s conjecture
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