Rademacher–Gaussian tail comparison for complex coefficients and related problems

DOI10.1090/proc/15718zbMath1487.60035arXiv2106.02421OpenAlexW3173857016MaRDI QIDQ5027178

Tomasz Tkocz, Ruoyuan Liu, Giorgos Chasapis

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02421

zbMATH Keywords

sums of independent random variablestail comparisonGaussian random variablespherically symmetric random vectorRademacher random variable

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)

Cites Work

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• On a multidimensional spherically invariant extension of the Rademacher-Gaussian comparison
• An asymptotically Gaussian bound on the Rademacher tails
• Precise moment and tail bounds for Rademacher sums in terms of weak parameters
• On measure concentration for separately Lipschitz functions in product spaces
• On the product of sign vectors and unit vectors
• Extremal probabilistic problems and Hotelling's \(T^ 2\) test under a symmetry condition
• On the volume of non-central sections of a cube
• A tight Gaussian bound for weighted sums of Rademacher random variables
• A note on optimal probability lower bounds for centered random variables
• Semidefinite Relaxation Bounds for Indefinite Homogeneous Quadratic Optimization
• Rational Bounds for Ratios of Modified Bessel Functions
• A multidimensional analogue of the Rademacher-Gaussian tail comparison
• Toward the best constant factor for the Rademacher-Gaussian tail comparison
• Independent Sequences with the Stein Property
• On Gaussian and Bernoulli covariance representations

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