Symmetrization and decoupling of combinatorial random elements
type: Item
instance of: scholarly article
title: Symmetrization and decoupling of combinatorial random elements
zbMATH Open document ID: 0920.60004
DOI: 10.1016/S0167-7152(98)00083-2
author: Lutz Dümbgen
published in: Statistics \& Probability Letters
publication date: 1999-09-15T00:00:00Z
review text: Symmetrization and decoupling are proved to be powerful tools in obtaining moment and tail inequalities for certain stochastic processes. The present note deals with independent stochastic processes on some index set \(I\) (or just real random variables) and provides, for a broad class of convex functions on \(\mathbb{R}^I\), some symmetrization and decoupling inequalities. The stochastic processes considered here appear in various stochastic applications involving randomization.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 1228695
zbMATH Keywords: exponential inequality
zbMATH Keywords: linear rank statistic
zbMATH Keywords: permutation bridge
zbMATH Keywords: random permutation
zbMATH Keywords: symmetrization and decoupling inequalities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1228695