4 citations · 4 across the 4 of their papers we have counts for
5 papers
A Functional Central Limit Theorem for Locally Stationary Time Series in Banach Spaces
Florian Heinrichs, Luis-Alberto Rodríguez
A functional central limit theorem for locally stationary time series taking values in a separable Banach space is established. The result does not require type-2 or cotype ass…
Distributional Convergence of Empirical Entropic Optimal Transport and Statistical Applications
Santiago Arenas-Velilla, Axel Munk, Luis-Alberto Rodríguez
Recently, the statistical properties of empirical Entropic Optimal Transport (EOT) have attracted great interest, as this quantity has been shown to be useful for complex data anal…
On uniqueness of the set of k-means
Javier Cárcamo, Antonio Cuevas, Luis A. Rodríguez
We provide necessary and sufficient conditions for the uniqueness of the k-means set of a probability distribution. This uniqueness problem is related to the choice of k: depending…
A uniform kernel trick for high-dimensional two-sample problems
Javier Cárcamo, Antonio Cuevas, Luis-Alberto Rodríguez
We use a suitable version of the so-called "kernel trick" to devise two-sample (homogeneity) tests, especially focussed on high-dimensional and functional data. Our proposal entail…
Directional differentiability for supremum-type functionals: statistical applications
Javier Cárcamo, Luis-Alberto Rodríguez, Antonio Cuevas
We show that various functionals related to the supremum of a real function defined on an arbitrary set or a measure space are Hadamard directionally differentiable. We specificall…