Identification and isotropy characterization of deformed random fields through excursion sets
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Publication:5215021
DOI10.1017/apr.2018.32zbMath1436.62452arXiv1705.08318OpenAlexW2963583121WikidataQ128934573 ScholiaQ128934573MaRDI QIDQ5215021
Publication date: 5 February 2020
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08318
Inference from spatial processes (62M30) Random fields; image analysis (62M40) Statistics on manifolds (62R30) Geometric probability and stochastic geometry (60D05)
Related Items (4)
On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields ⋮ Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields ⋮ Unnamed Item ⋮ Estimation of local anisotropy based on level sets
Cites Work
- A central limit theorem for the Euler characteristic of a Gaussian excursion set
- A test of Gaussianity based on the Euler characteristic of excursion sets
- Consistent estimates of deformed isotropic Gaussian random fields on the plane
- Estimating deformations of stationary processes
- Reducing non-stationary random fields to stationarity and isotropy using a space deformation
- Anisotropy models for spatial data
- Identification of space deformation using linear and superficial quadratic variations
- Estimation of local anisotropy based on level sets
- Estimating deformations of isotropic Gaussian random fields on the plane
- Affine Processes: A Test of Isotropy Based on Level Sets
- Introduction to Topological Manifolds
- Identifiability for non-stationary spatial structure
- Random Fields and Geometry
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