Lipschitz-Killing Curvatures of the Excursion Sets of Skew Student'stRandom Fields

DOI10.1080/15326349.2013.783290zbMath1273.60015OpenAlexW2089020601MaRDI QIDQ2841136

Ola Ahmad, Jean-Charles Pinoli

Publication date: 24 July 2013

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2013.783290

zbMATH Keywords

surface roughnessskewnessexcursion setsLipschitz-Killing curvaturesexpected Euler-Poincaré characteristicskew Student's \(t\) random field

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Uses Software

• mixsmsn

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multivariate mixture modeling using skew-normal independent distributions
• Robust mixture modeling based on scale mixtures of skew-normal distributions
• Topological complexity of smooth random functions. École d'Été de Probabilités de Saint-Flour XXXIX-2009.
• Skew-Gaussian random field
• Correlation theory of stationary and related random functions. Volume I: Basic results
• Euler characteristics for Gaussian fields on manifolds
• Random fields of multivariate test statistics, with applications to shape analysis
• The \(t\) family and their close and distant relations
• Upcrossings of Random Fields
• Statistical Applications of the Multivariate Skew Normal Distribution
• Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ ², F and t Fields
• Distributions Generated by Perturbation of Symmetry with Emphasis on a Multivariate Skewt-Distribution
• Boundary corrections for the expected Euler characteristic of excursion sets of random fields, with an application to astrophysics
• Random Fields and Geometry
• Multivariate measurement error models based on scale mixtures of the skew–normal distribution