24 citations · 34 across the 29 of their papers we have counts for
5 papers · 1 filter
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…
Weighted lens depth: Some applications to supervised classification
Alejandro Cholaquidis, Ricardo Fraiman, Fabrice Gamboa +1
Starting with Tukey's pioneering work in the 1970's, the notion of depth in statistics has been widely extended especially in the last decade. These extensions include high dimensi…
Level sets of depth measures in abstract spaces
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno
The lens depth of a point has been recently extended to general metric spaces, which is not the case for most depths. It is defined as the probability of being included in the inte…
Estimation of surface area
Catherine Aaron, Alejandro Cholaquidis, Ricardo Fraiman
We study the problem of estimating the surface area of the boundary of a sufficiently smooth set when the available information is only a finite…
Level set and density estimation on manifolds
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno
We tackle the problem of the estimation of the level sets L_f(λ) of the density f of a random vector X supported on a smooth manifold M\subsetR^d , from an iid sample of X. To do t…