5 papers
Adaptive Cluster Thresholding with Spatial Activation Guarantees Using All-resolutions Inference
Xu Chen, Jelle J. Goeman, Thijmen J. P. Krebs +2
Classical cluster inference is hampered by the spatial specificity paradox. Given the null-hypothesis of no active voxels, the alternative hypothesis states that there is at least…
A more reasonable proof of Cobham's theorem
Thijmen J. P. Krebs
We present a short new proof of Cobham's theorem without using Kronecker's approximation theorem, making it suitable for generalization beyond automatic sequences.
A shortcut for Hommel's procedure in linearithmic time
Rosa Meijer, Thijmen Krebs, Aldo Solari +1
Hommel's and Hochberg's procedures for familywise error control are both derived as shortcuts in a closed testing procedure with the Simes local test. Hommel's shortcut is exact bu…
Simultaneous Control of All False Discovery Proportions in Large-Scale Multiple Hypothesis Testing
Jelle Goeman, Rosa Meijer, Thijmen Krebs +1
Closed testing procedures are classically used for familywise error rate (FWER) control, but they can also be used to obtain simultaneous confidence bounds for the false discovery…
On automatic subsets of the Gaussian integers
Wieb Bosma, Robbert Fokkink, Thijmen Krebs
Suppose that and are multiplicatively independent Gaussian integers, that are both of modulus~. We prove that there exist a which is $…