On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields

DOI10.1111/sjos.12682arXiv2307.15529OpenAlexW4281777157MaRDI QIDQ6196803

Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz

Publication date: 15 March 2024

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.15529

zbMATH Keywords

excursion setsdigital geometrygeometric inferencethreshold exceedances

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Central limit theorems for the excursion set volumes of weakly dependent random fields
• 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
• Surfaces aléatoires. Mesure géométrique des ensembles de niveau
• Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields
• Central limit theorem for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields
• A functional central limit theorem for the level measure of a Gaussian random field
• Testing marginal symmetry of digital noise images through the perimeter of excursion sets
• Estimation of local anisotropy based on level sets
• The effect of discretization on the mean geometry of a 2D random field
• On the number of excursion sets of planar Gaussian fields
• A central limit theorem for Lipschitz-Killing curvatures of Gaussian excursions
• Estimating the reach of a manifold
• On plane curves with curvature
• Affine Processes: A Test of Isotropy Based on Level Sets
• On the excursion area of perturbed Gaussian fields
• Identification and isotropy characterization of deformed random fields through excursion sets
• Functional Central Limit Theorem for the Measures of Level Surfaces of the Gaussian Random Field
• Excursion and Contour Uncertainty Regions for Latent Gaussian Models
• Statistics for Gaussian random fields with unknown location and scale using Lipschitz‐Killing curvatures
• Central limit theorems for level functionals of stationary Gaussian processes and fields

This page was built for publication: On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields