Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields

DOI10.1214/19-EJS1530zbMath1406.60076OpenAlexW2808511335MaRDI QIDQ1722068

Céline Duval, Anne Estrade, Elena Di Bernardino, Hermine Biermé

Publication date: 14 February 2019

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

Full work available at URL: https://projecteuclid.org/euclid.ejs/1550134834

zbMATH Keywords

Euler characteristiccrossingslevel setsexcursion setstest of GaussianityGaussian and shot-noise fields

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Random fields (60G60) Parametric hypothesis testing (62F03) Stationary stochastic processes (60G10)

Related Items

On the excursion area of perturbed Gaussian fields, Estimation of expected Euler characteristic curves of nonstationary smooth random fields, On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields, Normal convergence of nonlocalised geometric functionals and shot-noise excursions, Testing marginal symmetry of digital noise images through the perimeter of excursion sets, The effect of discretization on the mean geometry of a 2D random field, Quantitative two-scale stabilization on the Poisson space

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