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math.ST2025
On consistent estimation of dimension values
Alejandro Cholaquidis, Antonio Cuevas, Beatriz Pateiro-López
The problem of estimating, from a random sample of points, the dimension of a compact subset of the Euclidean space is considered. The emphasis is put on consistency results in…
math.ST2024
On uniqueness of the set of k-means
Javier Cárcamo, Antonio Cuevas, Luis A. RodrÃguez
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…