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Local maxima and the expected Euler characteristic of excursion sets of \(\chi^ 2\), \(F\) and \(t\) fields. (English) Zbl 0797.60042

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.

MSC:

60G60 Random fields
60G15 Gaussian processes
60G35 Signal detection and filtering (aspects of stochastic processes)

Citations:

Zbl 0478.60059
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