A test of Gaussianity based on the Euler characteristic of excursion sets
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Publication:521329
DOI10.1214/17-EJS1248zbMath1362.62098OpenAlexW2600171568MaRDI QIDQ521329
Elena Di Bernardino, Anne Estrade, José Rafael León
Publication date: 7 April 2017
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ejs/1490688316
Random fields (60G60) Nonparametric hypothesis testing (62G10) Gaussian processes (60G15) Stationary stochastic processes (60G10)
Related Items (9)
Characterization of anisotropic Gaussian random fields by Minkowski tensors ⋮ The sharp phase transition for level set percolation of smooth planar Gaussian fields ⋮ Mean geometry for 2D random fields: level perimeter and level total curvature integrals ⋮ Estimation of expected Euler characteristic curves of nonstationary smooth random fields ⋮ Topology-driven goodness-of-fit tests in arbitrary dimensions ⋮ On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields ⋮ Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields ⋮ Identification and isotropy characterization of deformed random fields through excursion sets ⋮ The effect of discretization on the mean geometry of a 2D random field
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