Order of magnitude bounds for expectations of \(\Delta_2\)-functions of nonnegative random bilinear forms and generalized \(U\)-statistics
type: Item
instance of: scholarly article
title: Order of magnitude bounds for expectations of \(\Delta_2\)-functions of nonnegative random bilinear forms and generalized \(U\)-statistics
zbMATH Open document ID: 0895.60018
author: Michael J. Klass
author: Krzysztof Nowicki
published in: The Annals of Probability
publication date: 1998-09-20T00:00:00Z
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60F25
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 1078146
zbMATH Keywords: generalized \(U\)-statistics
zbMATH Keywords: random bilinear forms
zbMATH Keywords: growth condition
zbMATH Keywords: array of nonnegative functions
zbMATH Keywords: Khinchin-type inequalities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1024404521
OpenAlex ID: W2141338394
cites work: Invertibility of ``large'' submatrices with applications to the geometry of Banach spaces and harmonic analysis
cites work: Convergence of quadratic forms in p-stable random variables and \(\theta _ p\)-radonifying operators
cites work: Bounds on the Expectation of Functions of Martingales and Sums of Positive RV's in Terms of Norms of Sums of Independent Random Variables
cites work: Order-of-magnitude bounds for expectations involving quadratic forms
cites work: Decoupling inequalities for the tail probabilities of multivariate \(U\)- statistics
cites work: Q3139483
cites work: Q3687398
cites work: A method of approximating expectations of functions of sums of independent random variables
cites work: On the almost sure minimal growth rate of partial sum maxima
cites work: On a p-stable multiple integral. I, II
cites work: Q3997990
cites work: Q5766606
cites work: Decoupling inequalities for multilinear forms in independent symmetric random variables
cites work: Q4482447
DOI: 10.1214/AOP/1024404521
description: scientific article; zbMATH DE number 1078146