Worsley, K. J. Local maxima and the expected Euler characteristic of excursion sets of \(\chi^ 2\), \(F\) and \(t\) fields. (English) Zbl 0797.60042 Adv. Appl. Probab. 26, No. 1, 13-42 (1994). The results of R. J. Adler [The geometry of random fields (1981; Zbl 0478.60059)] for differential topology of Gaussian random fields are extended to \(\chi^ 2\), \(F\) and \(t\) fields. The theory is applied to the analysis of some three-dimensional images of cerebral blood flow from a study on pain perception. Reviewer: V.Parkhomenko (Kiev) Cited in 2 ReviewsCited in 47 Documents MSC: 60G60 Random fields 60G15 Gaussian processes 60G35 Signal detection and filtering (aspects of stochastic processes) Keywords:image analysis; non-Gaussian random fields; Gaussian random fields Citations:Zbl 0478.60059 PDFBibTeX XMLCite \textit{K. J. Worsley}, Adv. Appl. Probab. 26, No. 1, 13--42 (1994; Zbl 0797.60042) Full Text: DOI