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06/21/2023
Averaging symmetric positive-definite matrices on the space of eigen-decompositions
We study extensions of Fréchet means for random objects in the space Sym...
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02/10/2023
SCoPE Sets: A Versatile Framework for Simultaneous Inference
We study asymptotic statistical inference in the space of bounded functi...
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01/12/2023
An approximation to peak detection power using Gaussian random field theory
We study power approximation formulas for peak detection using Gaussian ...
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10/08/2022
Inverse set estimation and inversion of simultaneous confidence intervals
The preimage or inverse image of a predefined subset of the range of a d...
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01/08/2022
Spatial Confidence Regions for Combinations of Excursion Sets in Image Analysis
The analysis of excursion sets in imaging data is essential to a wide ra...
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05/20/2020
Functional delta residuals and applications to functional effect sizes
Given a functional central limit (fCLT) and a parameter transformation, ...
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11/19/2019
On critical points of Gaussian random fields under diffeomorphic transformations
Let {X(t), t∈ M} and {Z(t'), t'∈ M'} be smooth Gaussian random fields pa...
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08/07/2019
Estimation of Expected Euler Characteristic Curves of Nonstationary Smooth Gaussian Random Fields
The expected Euler characteristic (EEC) curve of excursion sets of a Gau...
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01/18/2019
Simultaneous Confidence Bands for Functional Data Using the Gaussian Kinematic Formula
This article constructs simultaneous confidence bands (SCBs) for functio...
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10/23/2017