Surface area and volume of excursion sets observed on point cloud based polytopic tessellations
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Publication:6591592
DOI10.1214/23-AAP2033MaRDI QIDQ6591592
Ryan Cotsakis, Céline Duval, Elena Di Bernardino
Publication date: 22 August 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
surface areabias correctionexcursion setsLipschitz-Killing curvaturescrossing probabilitiesVoronoi tessellationsCrofton formula
Directional data; spatial statistics (62H11) Random fields (60G60) Random fields; image analysis (62M40) Statistics on manifolds (62R30)
Cites Work
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- Central limit theorems for the excursion set volumes of weakly dependent random fields
- Strong mixing properties of max-infinitely divisible random fields
- A test of Gaussianity based on the Euler characteristic of excursion sets
- Functional central limit theorem for the volume of excursion sets generated by associated random fields
- Topological complexity of smooth random functions. École d'Été de Probabilités de Saint-Flour XXXIX-2009.
- Asymptotic theory for statistics of the Poisson-Voronoi approximation
- Approximation and convergence of the intrinsic volume
- Basic properties of strong mixing conditions. A survey and some open questions
- Level crossings and other level functionals of stationary Gaussian processes
- Extremes and related properties of random sequences and processes
- A converse to Scheffé's theorem
- Surfaces aléatoires. Mesure géométrique des ensembles de niveau
- On a converse to Scheffé's theorem
- On the central limit theorem for stationary mixing random fields
- Mixing: Properties and examples
- Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields
- Expected number and height distribution of critical points of smooth isotropic Gaussian random fields
- Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs
- Central limit theorem for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields
- Estimation of local anisotropy based on level sets
- The effect of discretization on the mean geometry of a 2D random field
- Estimation of surface area
- Mean geometry for 2D random fields: level perimeter and level total curvature integrals
- On multigrid convergence of local algorithms for intrinsic volumes
- Surface order scaling in stochastic geometry
- A central limit theorem for Lipschitz-Killing curvatures of Gaussian excursions
- The theory of stationary point processes
- Finite volume methods
- Limit Theorems for Excursion Sets of Stationary Random Fields
- The statistical analysis of a random, moving surface
- Stochastic and Integral Geometry
- Level Sets and Extrema of Random Processes and Fields
- Affine Processes: A Test of Isotropy Based on Level Sets
- Markov paths on the Poisson-Delaunay graph with applications to routeing in mobile networks
- Random Fields and Geometry
- Functional Central Limit Theorem for the Measures of Level Surfaces of the Gaussian Random Field
- A central limit theorem for stationary random fields
- On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields
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