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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…
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…