On Hoeffding decomposition in \(L_{p}\)

zbMath1271.60027MaRDI QIDQ1928875

Stanislaw Kwapien

Publication date: 4 January 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1336049990

zbMATH Keywords

Hoeffding decompositionRosenthal inequalitiescanonical \(U\)-statistics

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (1)

Hoeffding decomposition in \(H^1\) spaces

Cites Work

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• Distribution function inequalities for martingales
• \(L^p\)-norms of Hermite polynomials and an extremal problem on Wiener chaos
• Optimum bounds for the distributions of martingales in Banach spaces
• On the conditional expectation with respect to a sequence of independent σ-fields
• Bounds on moments of symmetric statistics
• A Class of Statistics with Asymptotically Normal Distribution

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