Estimation of expected Euler characteristic curves of nonstationary smooth random fields

DOI10.1214/23-aos2337zbMath1527.60027arXiv1908.02493MaRDI QIDQ6183781

Fabian J. E. Telschow, Armin Schwartzman, Pratyush Pranav, Dan Cheng

Publication date: 4 January 2024

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02493

zbMATH Keywords

Euler characteristicLipschitz-Killing curvaturesrandom field theoryGaussian related fields

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Gaussian processes (60G15)

Cites Work

• Unnamed Item
• A test of Gaussianity based on the Euler characteristic of excursion sets
• Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields
• Functional delta residuals and applications to simultaneous confidence bands of moment based statistics
• Simultaneous confidence bands for functional data using the Gaussian kinematic formula
• Multiple testing of local maxima for detection of peaks on the (celestial) sphere
• A Gaussian kinematic formula
• Validity of the expected Euler characteristic heuristic
• Simultaneous confidence bands for nonparametric regression with functional data
• Estimation of the spectral moment, by means of the extrema
• Detecting Sparse Signals in Random Fields, With an Application to Brain Mapping
• Morse Theory. (AM-51)
• A spectral moment estimation problem in two dimensions
• Confidence Regions for Spatial Excursion Sets From Repeated Random Field Observations, With an Application to Climate
• Random Fields and Geometry