Identification and isotropy characterization of deformed random fields through excursion sets

DOI10.1017/apr.2018.32zbMath1436.62452arXiv1705.08318OpenAlexW2963583121WikidataQ128934573 ScholiaQ128934573MaRDI QIDQ5215021

Julie Fournier

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

zbMATH Keywords

Euler characteristicrandom fieldisotropyexcursion setspace deformation

Mathematics Subject Classification ID

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

This page was built for publication: Identification and isotropy characterization of deformed random fields through excursion sets