A tight Gaussian bound for weighted sums of Rademacher random variables

DOI10.3150/14-BEJ603zbMath1332.60064arXiv1307.3451MaRDI QIDQ2348742

Vidmantas Kastytis Bentkus, Dainius Dzindzalieta

Publication date: 15 June 2015

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3451

zbMATH Keywords

weighted sumsGaussian boundRademacher random variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (10)

Biased halfspaces, noise sensitivity, and local Chernoff inequalities ⋮ Tail bounds for empirically standardized sums ⋮ Proof of Tomaszewski's conjecture on randomly signed sums ⋮ A multidimensional analogue of the Rademacher-Gaussian tail comparison ⋮ Half-Spaces with Influential Variable ⋮ Improved Bound for Tomaszewski's Problem ⋮ A note on random signs ⋮ Tomaszewski's problem on randomly signed sums, revisited ⋮ A Robust Khintchine Inequality, and Algorithms for Computing Optimal Constants in Fourier Analysis and High-Dimensional Geometry ⋮ Rademacher–Gaussian tail comparison for complex coefficients and related problems

Cites Work

• An asymptotically Gaussian bound on the Rademacher tails
• On measure concentration for separately Lipschitz functions in product spaces
• Extremal probabilistic problems and Hotelling's \(T^ 2\) test under a symmetry condition
• Smallest singular value of a random rectangular matrix
• Toward the best constant factor for the Rademacher-Gaussian tail comparison
• Student's t-Test Under Symmetry Conditions
• On Gaussian and Bernoulli covariance representations

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