Convergence rate analysis in limit theorems for nonlinear functionals of the second Wiener chaos
DOI10.1016/J.SPA.2024.104477MaRDI QIDQ6635679
Publication date: 12 November 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Malliavin calculusconvergence ratelong-range dependencelimit theoremsWiener chaosnonlinear functionalsanalytic wavelet transformmultidimensional Stein's method
Random fields (60G60) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07) Functional limit theorems; invariance principles (60F17)
Cites Work
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- Multiple Wiener-Itô integrals. With applications to limit theorems
- Sojourn measures of Student and Fisher-Snedecor random fields
- Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory
- A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter
- Regularization and integral representations of Hermite processes
- Central limit theorems and quadratic variations in terms of spectral density
- Stein's method on Wiener chaos
- Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion
- Non-Gaussian scenarios for the heat equation with singular initial conditions
- Exact parabolic asymptotics for singular \(n\)-D Burgers' random fields: Gaussian approximation
- Renormalization and homogenization of fractional diffusion equations with random data
- Higher-order spectral densities of fractional random fields
- Convergence in total variation on Wiener chaos
- Limit theorems for weighted nonlinear transformations of Gaussian stationary processes with singular spectra
- Analytic and asymptotic properties of multivariate generalized Linnik's probability densities
- Optimal variance-Gamma approximation on the second Wiener chaos
- Asymptotic analysis of higher-order scattering transform of Gaussian processes
- Stein's method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem
- On rate of convergence in non-central limit theorems
- Intermittent process analysis with scattering moments
- Tauberian and Abelian theorems for long-range dependent random fields
- Normal approximations with Malliavin calculus. From Stein's method to universality
- Group invariant scattering
- On the Spectral Density of the Wavelet Coefficients of Long-Memory Time Series with Application to the Log-Regression Estimation of the Memory Parameter
- On the envelope of a Gaussian random field
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- Quantitative Performance Analysis of Scalogram as Instantaneous Frequency Estimator
- On the Hilbert Transform of Wavelets
- A deep look into the dagum family of isotropic covariance functions
- Limit theorems for filtered long-range dependent random fields
- Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes
- On the Analytic Wavelet Transform
- Macroscaling Limit Theorems for Filtered Spatiotemporal Random Fields
- Central and Noncentral Limit Theorems Arising from the Scattering Transform and Its Neural Activation Generalization
- When scattering transform meets non-Gaussian random processes, a double scaling limit result
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