The geometry of correlation fields with an application to functional connectivity of the brain

DOI10.1214/aoap/1029962864zbMath0961.60052OpenAlexW2044970534MaRDI QIDQ1578605

Jin Cao, Keith J. Worsley

Publication date: 4 September 2000

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

Full work available at URL: https://doi.org/10.1214/aoap/1029962864

zbMATH Keywords

image analysiscross correlationGaussian random fieldexcursion

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Gaussian processes (60G15)

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• Local maxima of Gaussian fields
• Large Excursions of Gaussian Processes
• Extrema and level crossings of χ² processes
• Sample path behaviour of Χ² surfaces at extrema
• Upcrossings of Random Fields
• Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ ², F and t Fields
• Boundary corrections for the expected Euler characteristic of excursion sets of random fields, with an application to astrophysics
• The size of the connected components of excursion sets of χ², t and F fields

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