3 papers
math.ST2024
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…
econ.EM2021
Extremal points of Lorenz curves and applications to inequality analysis
Amparo Baíllo, Javier Cárcamo, Carlos Mora-Corral
We find the set of extremal points of Lorenz curves with fixed Gini index and compute the maximal -distance between Lorenz curves with given values of their Gini coefficients.…
math.ST2019
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…