Limit theorems for excursion sets of subordinated Gaussian random fields with long-range dependence
DOI10.1080/17442508.2021.1914620zbMath1496.60053arXiv2008.00761OpenAlexW3158452076WikidataQ113848401 ScholiaQ113848401MaRDI QIDQ5086899
Vitalii Makogin, Evgueni Spodarev
Publication date: 8 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.00761
long memoryHermite polynomialGaussian random fieldWiener-Itô integralnon-Gaussian limitnon-stationary covariance function
Random fields (60G60) Geometric probability and stochastic geometry (60D05) Stationary stochastic processes (60G10) Stochastic integrals (60H05)
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Cites Work
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- Sojourn measures of Student and Fisher-Snedecor random fields
- Central limit theorems for the excursion set volumes of weakly dependent random fields
- Regularization and integral representations of Hermite processes
- Sharpness of the normal approximation of functionals of strongly correlated Gaussian random fields
- Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion
- Anisotropic scaling limits of long-range dependent random fields
- On rate of convergence in non-central limit theorems
- Scaling transition for long-range dependent Gaussian random fields
- Scaling transition for nonlinear random fields with long-range dependence
- Scaling limits for random fields with long-range dependence
- A central limit theorem for Lipschitz-Killing curvatures of Gaussian excursions
- Anisotropic scaling limits of long-range dependent linear random fields on \(\mathbb{Z}^3\)
- Generalized Hermite processes, discrete chaos and limit theorems
- On the rate of convergence for central limit theorems of sojourn times of Gaussian fields
- Invariance principles for non-isotropic long memory random fields
- Tauberian and Abelian theorems for long-range dependent random fields
- Multiple Wiener integral
- The Estimation and Tracking of Frequency
- Stochastic Processes and Long Range Dependence
- Analysis of Variations for Self-similar Processes
- Random time series in astronomy
- Rosenblatt distribution subordinated to Gaussian random fields with long-range dependence
- Random Fields on the Sphere
- Long memory random fields
- Handbook of Financial Time Series
- Detecting Sparse Signals in Random Fields, With an Application to Brain Mapping
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Non-central limit theorems for non-linear functional of Gaussian fields
- Nonseparable, Stationary Covariance Functions for Space–Time Data
- Fractional random fields associated with stochastic fractional heat equations
- Long-Memory Processes
- Limit theorems for filtered long-range dependent random fields
- Long-Range Dependence and Self-Similarity
- Macroscaling Limit Theorems for Filtered Spatiotemporal Random Fields
- Fractional Brownian Motions, Fractional Noises and Applications
- The Estimation of Seasonal Variation in Economic Time Series
- Random heterogeneous materials. Microstructure and macroscopic properties
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