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math.ST2022★ 1 cited
Confidence regions for the location of peaks of a smooth random field
Samuel Davenport, Thomas E. Nichols, Armin Schwarzman
Local maxima of random processes are useful for finding important regions and are routinely used, for summarising features of interest (e.g. in neuroimaging). In this work we provi…
math.ST2020★ 5 cited
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…