7 citations · 32 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…