54 citations · 216 across the 17 of their papers we have counts for
19 papers
On the notion of polynomial reach: a statistical application
Alejandro Cholaquidis, Antonio Cuevas, Leonardo Moreno
The volume function V(t) of a compact set S\in R^d is just the Lebesgue measure of the set of points within a distance to S not larger than t. According to some classical results i…
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…
On a general definition of the functional linear model
José R. Berrendero, Alejandro Cholaquidis, Antonio Cuevas
A general formulation of the linear model with functional (random) explanatory variable , and scalar response Y is proposed. It includes the standard functional…
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…
On functional logistic regression: some conceptual issues
Beatriz Bueno-Larraz, José R. Berrendero, Antonio Cuevas
The main ideas behind the classical multivariate logistic regression model make sense when translated to the functional setting, where the explanatory variable is a function an…
Set Estimation Under Biconvexity Restrictions
Alejandro Cholaquidis, Antonio Cuevas
A set in the Euclidean plane is said to be biconvex if, for some angle , all its sections along straight lines with inclination angles and are convex sets…