Rademacher chaos: tail estimates versus limit theorems

DOI10.1007/BF02432908zbMath1049.60007MaRDI QIDQ1880441

Svante Janson, Ron C. Blei

Publication date: 28 September 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Rademacher chaosfractional combinatorial dimensionnormal limit theorem

Mathematics Subject Classification ID

Combinatorial probability (60C05)

Related Items (max. 100)

Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences ⋮ Sparse Rademacher chaos in symmetric spaces ⋮ Central limit theorems for random multiplicative functions ⋮ On certain properties of Rademacher chaos ⋮ Measurements of interdependence ⋮ Stein approximation for functionals of independent random sequences ⋮ Rademacher functions in symmetric spaces ⋮ The multivariate functional de Jong CLT

Cites Work

• Asymptotic distribution of symmetric statistics
• Inequalities in Fourier analysis
• Domination inequality for martingale transforms of a Rademacher sequence
• Dependent central limit theorems and invariance principles
• The free Markoff field
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
• The Distribution of Rademacher Sums
• A functional limit theorem for random graphs with applications to subgraph count statistics
• Orthogonal decompositions and functional limit theorems for random graph statistics
• Tail and moment estimates for some types of chaos
• A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables
• Quotient Algebras of Uniform Algebras
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