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math.ST2026
Dimension-invariant uniform consistency of the empirical spatial distribution function and its associated spatial depth estimator
Felix Gnettner, Hyemin Yeon, Piotr Kokoszka
We provide a proof that the empirical spatial distribution estimator in as well as the corresponding plug-in estimator of the spatial depth are uniformly -consis…
math.ST2025
A new and flexible class of sharp asymptotic time-uniform confidence sequences
Felix Gnettner, Claudia Kirch
Confidence sequences are anytime-valid analogues of classical confidence intervals that do not suffer from multiplicity issues under optional continuation of the data collection. A…
math.ST2023★ 1 cited
Symmetrisation of a class of two-sample tests by mutually considering depth ranks including functional spaces
Felix Gnettner, Claudia Kirch, Alicia Nieto-Reyes
Statistical depth functions provide measures of the outlyingness, or centrality, of the elements of a space with respect to a distribution. It is a nonparametric concept applicable…