The size of singular component and shift inequalities
type: Item
instance of: scholarly article
title: The size of singular component and shift inequalities
zbMATH Open document ID: 0946.60008
author: S. G. Bobkov
published in: The Annals of Probability
publication date: 1999-11-09T00:00:00Z
review text: The question of how large can be the size of singular component of translates \(\mu^{\infty}_h\) of product probability \(\mu^{\infty}\) is investigated in terms of Fisher information. Shift inequalities of the form \[ S_h(\mu^{\infty}(A))\leq \mu^{\infty}_h(A)\leq R_h(\mu^{\infty}(A)) \] are obtained for suitable functions \(R_h\) and \(S_h.\)
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 1359650
zbMATH Keywords: translates of measures
zbMATH Keywords: shift inequalities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1022677267
OpenAlex ID: W1969697384
cites work: Analytic properties of infinite-dimensional distributions
cites work: On upper and lower bounds for the variance of a function of a random variable
cites work: Examples of Non-Gaussian Quasi-Invariant Distributions in Hilbert Space
cites work: On equivalence of infinite product measures
cites work: On translates of convex measures
cites work: Q4387146
cites work: Distinguishing a Sequence of Random Variables from a Translate of Itself
DOI: 10.1214/AOP/1022677267
Recommended article: On the Dimension of the Kernel of a Singular Integral Operator with Shift
Recommended article: Singular value inequalities for compact operators
Recommended article: Q4462301
Recommended article: The size of $(L^2,L^p)$ multipliers
Recommended article: Q3643408
Recommended article: Estimates for compositions of maximal operators with singular integrals
Recommended article: Q3828488
Recommended article: Size Estimates for Eigenvalues of Singular Integral Operators and Schrodinger Operators and for Derivatives of Quasiconformal Mappings
Recommended article: Bounds for the Kernel Dimension of Singular Integral Operators with Carleman Shift
description: scientific article; zbMATH DE number 1359650