Covariance identities and inequalities for functionals on Wiener and Poisson spaces

From MaRDI portal
Publication:1897190

DOI10.1214/aop/1176988392zbMath0831.60029OpenAlexW1984582610MaRDI QIDQ1897190

Christian Houdré, Victor Perez-Abreu

Publication date: 11 February 1996

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988392




Related Items (29)

Extended covariance identities and inequalitiesStein's method on Wiener chaosQuantitative clts on a gaussian space: a survey of recent developmentsDiscrete chaotic calculus and covariance identitiesOn the equivalence of Sobolev norms in Malliavin spacesOn the decay of correlations in the random field Ising modelThe iterated jackknife estimate of varianceAnticipating integrals and martingales on the Poisson spaceOn infinite covariance expansionsConstructing a solution of the \((2+1)\)-dimensional KPZ equationStochastic Analysis for Poisson ProcessesL'algèbre de Lie des gradients itérés d'un générateur markovien---développements de moyennes et entropiesFunctional affine-isoperimetry and an inverse logarithmic Sobolev inequalityCovariance representations, \(L^p\)-Poincaré inequalities, Stein's kernels, and high-dimensional CLTsCentral limit theorems for \(U\)-statistics of Poisson point processesMultiscale functional inequalities in probability: constructive approachAn extended Stein-type covariance identity for the Pearson family with applications to lower variance boundsDivergence for \(s\)-concave and log concave functionsHigher-order pathwise theory of fluctuations in stochastic homogenizationA matrix variance inequalityOn Gaussian and Bernoulli covariance representationsPoisson process Fock space representation, chaos expansion and covariance inequalitiesSome covariance inequalities in Wiener spaceConcentration inequalities for measures of a Boolean modelAn improved second-order Poincaré inequality for functionals of Gaussian fieldsSecond order Poincaré inequalities and CLTs on Wiener spaceInterpolation, correlation identities, and inequalities for infinitely divisible variablesSkewness premium with Lévy processesThe hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications




This page was built for publication: Covariance identities and inequalities for functionals on Wiener and Poisson spaces