Abstract
The distribution of the size of one connected component and the largest connected component of the excursion set is derived for stationary χ2, t and F fields, in the limit of high or low thresholds. This extends previous results for stationary Gaussian fields (Nosko 1969, Adler 1981) and for χ2 fields in one and two dimensions (Aronowich and Adler 1986, 1988). An application of this is to detect regional changes in positron emission tomography (PET) images of blood flow in human brain, using the size of the largest connected component of the excursion set as a test statistic.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference14 articles.
1. A Three-Dimensional Statistical Analysis for CBF Activation Studies in Human Brain
2. Local structure of Gaussian random fields in the vicinity of high-level light sources;Nosko;Soviet Math. Dokl.,1969
3. Extrema and level crossings of χ2 processes;Aronowich;Adv. Appl. Prob,1986
Cited by
101 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献