Invariance principles for homogeneous sums: Universality of Gaussian
Wiener chaos

Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos

We compute explicit bounds in the normal and chi-square approximations of multilinear homogenous sums (of arbitrary order) of general centered independent random variables with unit variance. In particular, we show that chaotic random variables enjoy the following form of universality: (a) the norma...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Nourdin, I, Peccati, G, Reinert, G
Формат:	Journal article
Хэл сонгох:	English
Хэвлэсэн:	2009

Ижил төстэй зүйлс

Second order Poincaré inequalities and CLTs on Wiener space
-н: Nourdin, I, зэрэг
Хэвлэсэн: (2008)

On the Wiener chaos expansion of the signature of a Gaussian process
-н: Cass, T, зэрэг
Хэвлэсэн: (2024)

Stein's method and stochastic analysis of Rademacher functionals
-н: Nourdin, I, зэрэг
Хэвлэсэн: (2008)

N-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs
-н: Hoang, Viet Ha., зэрэг
Хэвлэсэн: (2014)

Stochastic Boundary Value Problems via Wiener Chaos Expansion
-н: George Kanakoudis, зэрэг
Хэвлэсэн: (2023-04-01)

Adaptive Gaussian Wiener Filter for CT-Scan Images with Gaussian Noise Variance
-н: Kai Liang Lew, зэрэг
Хэвлэсэн: (2024-02-01)

Invariance and parallel sums
-н: Adel Alahmadi, зэрэг
Хэвлэсэн: (2020-08-01)

Homogeneous chaos revisited
Хэвлэсэн: (2002)

On general partial Gaussian sums
-н: Ganglian Ren, зэрэг
Хэвлэсэн: (2016-11-01)

On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos
-н: Andreas Basse-O’Connor, зэрэг
Хэвлэсэн: (2020-08-01)

GP-SUM. Gaussian Process Filtering of non-Gaussian Beliefs
-н: Bauza Villalonga, Maria, зэрэг
Хэвлэсэн: (2022)

Wiener criterion at the boundary related to p-homogeneous strongly local Dirichlet forms
-н: Marco Biroli, зэрэг
Хэвлэсэн: (2007-12-01)

Structurally Invariant Higher-Order Ince-Gaussian Beams and Their Expansions into Hermite-Gaussian or Laguerre-Gaussian Beams
-н: Eugeny G. Abramochkin, зэрэг
Хэвлэсэн: (2024-02-01)

F-electron spectral function of the Falicov-Kimball model and the Wiener-Hopf sum equation approach
-н: A.M. Shvaika, зэрэг
Хэвлэсэн: (2008-09-01)

Inverse sum indeg invariant of some graphs
-н: S. Nagarajan, зэрэг
Хэвлэсэн: (2021-11-01)

Fourier-invariant autofocused Laguerre-Gaussian beams
-н: V.V. Kotlyar, зэрэг
Хэвлэсэн: (2024-04-01)

The classical compact groups and Gaussian multiplicative chaos
-н: Forkel, J, зэрэг
Хэвлэсэн: (2021)

Speech Enhancement Using Gaussian Mixture Models, Explicit Bayesian Estimation and Wiener Filtering
-н: M. H. Savoji, зэрэг
Хэвлэсэн: (2014-09-01)

Scaled unscented transform Gaussian sum filter: theory and application
-н: Luo, X, зэрэг
Хэвлэсэн: (2010)

Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
-н: Helgason, Sigurdur
Хэвлэсэн: (2005)

Invariant differential equations on homogeneous manifolds
-н: Helgason, Sigurdur
Хэвлэсэн: (2005)

Using sums-of-squares to prove Gaussian product inequalities
-н: Russell Oliver, зэрэг
Хэвлэсэн: (2024-06-01)

Gaussian approximation of functionals: Malliavin calculus and Stein's method
-н: Reinert, G
Хэвлэсэн: (2011)

Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation
-н: Duplantier, Bertrand, зэрэг
Хэвлэсэн: (2015)

Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
-н: Duplantier, Bertrand, зэрэг
Хэвлэсэн: (2018)

Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
-н: Nahmod, Andrea, зэрэг
Хэвлэсэн: (2013)

Chaos Control on a Duopoly Game with Homogeneous Strategy
-н: Manying Bai, зэрэг
Хэвлэсэн: (2016-01-01)

On the Wiener Complexity and the Wiener Index of Fullerene Graphs
-н: Andrey A. Dobrynin, зэрэг
Хэвлэсэн: (2019-11-01)

3D Gaussian Geometric Moment Invariants
-н: Tao Sun
Хэвлэсэн: (2024-12-01)

Invariance Properties in the Dynamic Gaussian Copula Model*
-н: Crépey Stéphane, зэрэг
Хэвлэсэн: (2017-06-01)

A variety of Fourier-invariant Gaussian beams
-н: Victor Kotlyar, зэрэг
Хэвлэсэн: (2018-10-01)

Wiener and Hyper-Wiener Indices of Polygonal Cylinder and Torus
-н: Zhi-Ba Peng, зэрэг
Хэвлэсэн: (2021-01-01)

Noncommutative Functional Calculus and Its Applications on Invariant Subspace and Chaos
-н: Lvlin Luo
Хэвлэсэн: (2020-09-01)

Drift of invariant manifolds and transient chaos in memristor Chua's circuit
-н: Mauro Di Marco, зэрэг
Хэвлэсэн: (2023-10-01)

Many-body quantum chaos and space-time translational invariance
-н: Amos Chan, зэрэг
Хэвлэсэн: (2022-12-01)

A Numerical Study of Stochastic El Niño Southern Oscillations Using Wiener Chaos Expansion and Monte Carlo Methods
-н: Yusuf Aydogdu, зэрэг
Хэвлэсэн: (2024-09-01)

Mathematical philosophy and foundations, potential theory, brownian movement, wiener integral, ergodic and chaos theories, turbulence and statistical mechanics /
-н: 292783 Wiener, Norbert, зэрэг
Хэвлэсэн: (1976)

The wiener-hopf method in electromagnetics /
-н: Daniele, Vito G., зэрэг
Хэвлэсэн: (c201)

On Wiener Polarity Index and Wiener Index of Certain Triangular Networks
-н: Mr. Adnan, зэрэг
Хэвлэсэн: (2021-01-01)

Wiener polarity and Wiener index of double generalized Petersen graph
-н: Tanveer Iqbal, зэрэг
Хэвлэсэн: (2023-07-01)