On the excursion area of perturbed Gaussian fields
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Publication:5110221
DOI10.1051/ps/2020002zbMath1447.60078arXiv1905.00206OpenAlexW3009986479MaRDI QIDQ5110221
Maurizia Rossi, Elena Di Bernardino, Anne Estrade
Publication date: 18 May 2020
Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.00206
perturbed fieldsGaussian fieldssojourn timesLK curvaturesquantitative limit theoremssparse inference for random fieldsspatial-invariant random perturbations
Asymptotic properties of parametric estimators (62F12) Random fields (60G60) Random fields; image analysis (62M40) Gaussian processes (60G15) Central limit and other weak theorems (60F05)
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Cites Work
- Unnamed Item
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- On the perimeter of excursion sets of shot noise random fields
- Central limit theorems for the excursion set volumes of weakly dependent random fields
- Stein-Malliavin approximations for nonlinear functionals of random eigenfunctions on \(\mathbb{S}^d\)
- A central limit theorem for the Euler characteristic of a Gaussian excursion set
- Topological complexity of smooth random functions. École d'Été de Probabilités de Saint-Flour XXXIX-2009.
- Level curves crossings and applications for Gaussian models
- Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields
- Discretisation schemes for level sets of planar Gaussian fields
- Central limit theorem for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields
- Chaos expansions of double intersection local time of Brownian motion in \(\mathbb{R}^ d\) and renormalization
- Estimation of local anisotropy based on level sets
- Normal convergence of nonlocalised geometric functionals and shot-noise excursions
- A central limit theorem for Lipschitz-Killing curvatures of Gaussian excursions
- On the rate of convergence for central limit theorems of sojourn times of Gaussian fields
- Limit Theorems for Excursion Sets of Stationary Random Fields
- Random Fields on the Sphere
- Stochastic and Integral Geometry
- Excursion sets of three classes of stable random fields
- Affine Processes: A Test of Isotropy Based on Level Sets
- MODELLING A FOOD MICROSTRUCTURE BY RANDOM SETS
- Random Fields and Geometry
- Statistics for Gaussian random fields with unknown location and scale using Lipschitz‐Killing curvatures