On Gaussian and Bernoulli covariance representations
From MaRDI portal
Publication:5949613
DOI10.2307/3318495zbMath1053.60019OpenAlexW2036647822MaRDI QIDQ5949613
Sergey G. Bobkov, Friedrich Götze, Christian Houdré
Publication date: 2001
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bj/1080004759
Related Items
Remarks on deviation inequalities for functions of infinitely divisible random vectors ⋮ Discrete chaotic calculus and covariance identities ⋮ Exact inequalities for sums of asymmetric random variables, with applications ⋮ Proof of Tomaszewski's conjecture on randomly signed sums ⋮ On infinite covariance expansions ⋮ Talagrand inequality at second order and application to Boolean analysis ⋮ Dimension free and infinite variance tail estimates on Poisson space ⋮ A multidimensional analogue of the Rademacher-Gaussian tail comparison ⋮ On the isoperimetric constant, covariance inequalities and \(L_{p}\)-Poincaré inequalities in dimension one ⋮ Strong central limit theorem for isotropic random walks in \({\mathbb{R}^d}\) ⋮ An extended Stein-type covariance identity for the Pearson family with applications to lower variance bounds ⋮ Efron's monotonicity property for measures on \(\mathbb{R}^2\) ⋮ Toward the best constant factor for the Rademacher-Gaussian tail comparison ⋮ A new method for bounding rates of convergence of empirical spectral distributions ⋮ On measure concentration for separately Lipschitz functions in product spaces ⋮ Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one ⋮ A tight Gaussian bound for weighted sums of Rademacher random variables ⋮ Rademacher–Gaussian tail comparison for complex coefficients and related problems
Cites Work
- Some deviation inequalities
- A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold
- Diffusion equation techniques in stochastic monotonicity and positive correlations
- Interpolation, correlation identities, and inequalities for infinitely divisible variables
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- Extremal probabilistic problems and Hotelling's \(T^ 2\) test under a symmetry condition
- Remarks on deviation inequalities for functions of infinitely divisible random vectors
- Covariance identities and inequalities for functionals on Wiener and Poisson spaces
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
- Localization Proof of the Bakry--Ledoux Isoperimetric Inequality and Some Applications
- L'algèbre de Lie des gradients itérés d'un générateur markovien---développements de moyennes et entropies
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On Gaussian and Bernoulli covariance representations