<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Symmetrization and Decoupling of Combinatorial Random Elements"^^ . "Let Φ = (φij)1 ⩽ij⩽n be a random matrix whose components φij are independent stochastic processes on some index set T. Let S = ∑i=1nφiπ(i), where Π is a random permutation of {1,2, …, n}, independent from Φ. This random element is compared with its symmetrized version S0 := ∑i=1n ξiφiπ(i) and its decoupled version S := ∑i=1n φiπ(i), where ξ = (ξi)1 ⩽i⩽n is a Rademacher sequence and Π is uniformly distributed on {1,2,…,n}n such that Φ, Π, Π and ξ are independent. It is shown that for a broad class of convex functions Ψ on RT the following symmetrization and decoupling inequalities hold: EΨ(S−ES) ⩽ Ψ(kS0)EΨ(γ(S−ES)) where κ, γ > 0 are universal constants."^^ . "1998" . . . "39" . "4" . . "Statistics & Probability Letters"^^ . . . "01677152" . . . . . "Lutz"^^ . "Dümbgen"^^ . "Lutz Dümbgen"^^ . . . . . . "Symmetrization and Decoupling of Combinatorial Random Elements (PDF)"^^ . . . "report.12(1).pdf"^^ . . . "Symmetrization and Decoupling of Combinatorial Random Elements (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Symmetrization and Decoupling of Combinatorial Random Elements (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Symmetrization and Decoupling of Combinatorial Random Elements (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Symmetrization and Decoupling of Combinatorial Random Elements (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Symmetrization and Decoupling of Combinatorial Random Elements (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #21960 \n\nSymmetrization and Decoupling of Combinatorial Random Elements\n\n" . "text/html" . . . "310 Statistik"@de . "310 General statistics"@en . .