On Stein's method for multivariate self-decomposable laws with finite first moment
DOI10.1214/19-EJP285zbMath1466.60027arXiv1809.02050OpenAlexW3106400743MaRDI QIDQ2631855
Christian Houdré, Benjamin Arras
Publication date: 16 May 2019
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.02050
Stein's methodrates of convergenceinfinite divisibilityself-decomposabilityweak limit theoremssmooth Wassertein distanceStein's kernel
Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10)
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Cites Work
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- Heat kernels and analyticity of non-symmetric jump diffusion semigroups
- Multivariate Stein factors for a class of strongly log-concave distributions
- Fundamentals of Stein's method
- Stein's method for comparison of univariate distributions
- A new approach to strong embeddings
- A multivariate CLT for decomposable random vectors with finite second moments
- On the rate of convergence in the multivariate CLT
- Stein's method on Wiener chaos
- Probability problems connected with a certain integrodifferential inequality
- A new method of normal approximation
- Fluctuations of eigenvalues and second order Poincaré inequalities
- Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
- Multivariate normal approximation using Stein's method and Malliavin calculus
- Characterization of probability distributions by Poincaré-type inequalities
- Stein's method for diffusion approximations
- Generalized gamma convolutions and related classes of distributions and densities
- Interpolation, correlation identities, and inequalities for infinitely divisible variables
- Variational inequalities with examples and an application to the central limit theorem
- A multivariate CLT for local dependence with \(n^{-1/2}\log n\) rate and applications to multivariate graph related statistics
- Stein's method in high dimensions with applications
- Infinitely divisible multivariate and matrix gamma distributions
- Entropy and the fourth moment phenomenon
- Measuring sample quality with diffusions
- Existence of Stein kernels under a spectral gap, and discrepancy bounds
- Stein's method, logarithmic Sobolev and transport inequalities
- Normal Approximations with Malliavin Calculus
- On Stein’s method for multivariate normal approximation
- The LÉvy representation of the characteristic function of the probability density Γ(m+d/2){πd/2Γ(m)}-1(1+|x||x|2)-m-d/2
- On mixtures of the normal distribution by the generalized gamma convolutions
- On an Inequality and a Related Characterization of the Normal Distribution
- Poincaré-type inequalities via stochastic integrals
- Normal Approximation by Stein’s Method
- On the Lèvy representation of the characteristic function of the probability distribution Ce-|x|dx
- On Stein's Method for Infinitely Divisible Laws with Finite First Moment
- Multivariate normal approximations by Stein's method and size bias couplings
- Analysis and Geometry of Markov Diffusion Operators
- \(L^1\)-norm of infinitely divisible random vectors and certain stochastic integrals
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