4 papers
Spatial Confidence Regions for Piecewise Continuous Processes
Thomas J. Maullin-Sapey, Fabian J. E. Telschow
In scientific disciplines such as neuroimaging, climatology, and cosmology it is useful to study the uncertainty of excursion sets of imaging data. While the case of imaging data o…
Robust FWER control in Neuroimaging using Random Field Theory: Riding the SuRF to Continuous Land Part 2
Samuel Davenport, Armin Schwartzman, Thomas E. Nichols +1
Historically, applications of RFT in fMRI have relied on assumptions of smoothness, stationarity and Gaussianity. The first two assumptions have been addressed in Part 1 of this ar…
Precise FWER Control for Gaussian Related Fields: Riding the SuRF to continuous land -- Part 1
Fabian JE Telschow, Samuel Davenport
The Gaussian Kinematic Formula (GKF) is a powerful and computationally efficient tool to perform statistical inference on random fields and became a well-established tool in the an…
On the finiteness of the second moment of the number of critical points of Gaussian random fields
Samuel Davenport, Fabian J. E. Telschow
We prove that the second moment of the number of critical points of any sufficiently regular random field, for example with almost surely sample paths, defined over a compa…