The geometry of correlation fields with an application to functional connectivity of the brain
type: Item
instance of: scholarly article
title: The geometry of correlation fields with an application to functional connectivity of the brain
zbMATH Open document ID: 0961.60052
author: Jin Cao
author: Keith J. Worsley
published in: The Annals of Applied Probability
publication date: 2000-09-04T00:00:00Z
review text: Let \(X\), \(Y\) be vectors of \(d\) stationary Gaussian random fields, and \[ R(s,t):= {\langle x(s),y(t)\rangle\over \sqrt{\langle x(s), x(s)\rangle\langle y(t), y(t)\rangle}} \] the cross correlation. The authors present statistically interesting and important results on the excursion set of \(R\) over a threshold level and also on the maximal component of the excursion set. Simulations and applications in brain research are given.
Mathematics Subject Classification ID: 60G15
Mathematics Subject Classification ID: 62M30
zbMATH DE Number: 1500273
zbMATH Keywords: Gaussian random field
zbMATH Keywords: cross correlation
zbMATH Keywords: image analysis
zbMATH Keywords: excursion
reviewed by: Uwe Rösler
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1029962864
OpenAlex ID: W2044970534
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DOI: 10.1214/AOAP/1029962864
description: scientific article; zbMATH DE number 1500273