The size of the connected components of excursion sets of χ2, t and F fields

被引：87

作者：

Cao, J ^{[1
]}

机构：

[1] Bell Labs, Lucent Technol, Murray Hill, NJ 07974 USA

来源：

ADVANCES IN APPLIED PROBABILITY | 1999年 / 31卷 / 03期

关键词：

excursion set; random fields; image analysis;

D O I：

10.1239/aap/1029955192

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The distribution of the size of one connected component and the largest connected component of the excursion set is derived for stationary chi(2), 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 chi(2) 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.

引用

页码：579 / 595

页数：17

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