Berry–Esseen bounds for random projections of $\ell _p^n$-balls
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Publication:5094166
DOI10.4064/sm201214-2-3zbMath1494.60026arXiv1911.00695OpenAlexW2982978733MaRDI QIDQ5094166
Samuel Johnston, Joscha Prochno
Publication date: 2 August 2022
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.00695
central limit theoremuniform distributionrandom vector\(\ell^n_p\)-ballorthogonal projectionBerry-Esseen boundGrassmannian manifoldcone measure
Related Items (4)
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Cites Work
- A central limit theorem for projections of the cube
- Power-law estimates for the central limit theorem for convex sets
- A dozen de Finetti-style results in search of a theory
- Asymptotics of cross sections for convex bodies
- Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls
- Mean width of regular polytopes and expected maxima of correlated Gaussian variables
- A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
- Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls
- A central limit theorem for convex sets
- Limit theorems for uniform distributions on spheres in high-dimensional euclidean spaces
- Limit theorems for random simplices in high dimensions
- High-dimensional limit theorems for random vectors in ℓpn-balls
- High-dimensional limit theorems for random vectors in ℓpn-balls. II
- A sharpening of the inequality of Berry-Esseen
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