Boundary corrections for the expected Euler characteristic of excursion sets of random fields, with an application to astrophysics
From MaRDI portal
Publication:4862093
DOI10.2307/1427930zbMath0836.60043OpenAlexW2009012166MaRDI QIDQ4862093
Publication date: 9 April 1996
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/957ac08ad5b81b18e4960ac8a960bce74c970356
Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items
On the equivalence of the tube and Euler characteristic methods for the distribution of the maximum of Gaussian fields over piecewise smooth domains, A graph theoretic approach to simulation and classification, Construction of conservative test for change-point problem in two-dimensional random fields, Boundary crossings and the distribution function of the maximum of Brownian sheet., Gaussian processes, kinematic formulae and Poincaré's limit, Random fields and the geometry of Wiener space, The geometry of least squares in the 21st century, Euler characteristics for Gaussian fields on manifolds, Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix, On the finiteness of the moments of the measure of level sets of random fields, Maxima of the continuous wavelet transform of correlated data, Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields, Persistent homology transform for modeling shapes and surfaces, The geometry of the Wilks's \(\Lambda\) random field, Euler characteristics of oceanic sea states, The tube method for the moment index in projection pursuit, Unnamed Item, Euler characteristic heuristic for approximating the distribution of the largest eigenvalue of an orthogonally invariant random matrix, Simultaneous confidence bands for contrasts between several nonlinear regression curves, Tilted Euler characteristic densities for central limit random fields, with application to ``bubbles, On the geometry of a generalized cross-correlation random field, Random fields of multivariate test statistics, with applications to shape analysis, The geometry of time-varying cross-correlation random fields, Kinematic formula for heterogeneous Gaussian related fields, On estimation of the Euler number by projections of thin slabs, A Gaussian kinematic formula, High-resolution asymptotics for the angular bispectrum of spherical random fields, Numerical bounds for the distributions of the maxima of some one- and two-parameter Gaussian processes, The volume-of-tube method for Gaussian random fields with inhomogeneous variance, Lipschitz-Killing Curvatures of the Excursion Sets of Skew Student'stRandom Fields, The geometry of correlation fields with an application to functional connectivity of the brain, On excursion sets, tube formulas and maxima of random fields., Validity of the expected Euler characteristic heuristic, Topological classification of radioactive contamination, The topology of probability distributions on manifolds