7 citations · 32 across the 12 of their papers we have counts for
12 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…
SCoRE Sets: A Versatile Framework for Simultaneous Inference
Fabian J. E. Telschow, Junting Ren, Armin Schwartzman
We study asymptotic statistical inference in the space of bounded functions endowed with the supremums norm over an arbitrary metric space using a novel concept: Simultaneous C…
Inverse set estimation and inversion of simultaneous confidence intervals
Junting Ren, Fabian J. E. Telschow, Armin Schwartzman
Motivated by the questions of risk assessment in climatology (temperature change in North America) and medicine (impact of statin usage and COVID-19 on hospitalized patients), we a…
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…
Functional delta residuals and applications to simultaneous confidence bands of moment based statistics
Fabian J. E. Telschow, Samuel Davenport, Armin Schwartzman
Given a functional central limit (fCLT) for an estimator and a parameter transformation, we construct random processes, called functional delta residuals, which asymptotically have…
Confidence Tubes for Curves on SO(3) and Identification of Subject-Specific Gait Change after Kneeling
Fabian J. E. Telschow, Michael R. Pierrynowski, Stephan F. Huckemann
In order to identify changes of gait patterns, e.g. due to prolonged occupational kneeling, which is believed to be major risk factor, among others, for the development of knee ost…
Estimation of Expected Euler Characteristic Curves of Nonstationary Smooth Gaussian Random Fields
Fabian Telschow, Armin Schwartzman, Dan Cheng +1
The expected Euler characteristic (EEC) curve of excursion sets of a Gaussian random field is used to approximate the distribution of its supremum for high thresholds. Viewed as a…
Simultaneous Confidence Bands for Functional Data Using the Gaussian Kinematic Formula
Fabian J. E. Telschow, Armin Schwartzman
This article constructs simultaneous confidence bands (SCBs) for functional parameters using the Gaussian Kinematic formula of -processes (tGKF). Although the tGKF relies on Gau…
Functional Inference on Rotational Curves and Identification of Human Gait at the Knee Joint
Fabian J. E. Telschow, Stephan F. Huckemann, Michael R. Pierrynowski
We extend Gaussian perturbation models in classical functional data analysis to the three-dimensional rotational group where a zero-mean Gaussian process in the Lie algebra under t…
Representation by Integrating Reproducing Kernels
Thomas Hotz, Fabian J. E. Telschow
Based on direct integrals, a framework allowing to integrate a parametrised family of reproducing kernels with respect to some measure on the parameter space is developed. By point…