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Symmetrization and decoupling of combinatorial random elements

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Publication:1273017
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DOI10.1016/S0167-7152(98)00083-2zbMath0920.60004MaRDI QIDQ1273017

Lutz Dümbgen

Publication date: 15 September 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

exponential inequalityrandom permutationlinear rank statisticpermutation bridgesymmetrization and decoupling inequalities


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)


Related Items (3)

Minimax optimality of permutation tests ⋮ Application of local rank tests to nonparametric regression ⋮ Limit theorems for permutations of empirical processes with applications to change point analysis




Cites Work

  • Unnamed Item
  • Limit theorems for \(U\)-processes
  • Asymptotic methods in statistical decision theory
  • Decoupling and Khintchine's inequalities for \(U\)-statistics
  • Combinatorial stochastic processes
  • Weak convergence and empirical processes. With applications to statistics
  • Probability Inequalities for Sums of Bounded Random Variables
  • A Combinatorial Central Limit Theorem




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