arXiv stat.ML
· Papers
Dimension-invariant uniform consistency of the empirical spatial distribution function and its associated spatial depth estimator
arXiv:2607.16092v1 Announce Type: cross Abstract: We provide a proof that the empirical spatial distribution estimator in $mathbb R^d$ as well as the corresponding plug-in estimator of the spatial depth are uniformly $L^1$-consistent. The consistency rate only depends on the sample size $n$, not on the dimension $d$ o