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math.ST2025
Goodness-of-fit testing of the distribution of posterior classification probabilities for validating model-based clustering
Salima El Kolei, Matthieu Marbac
We present the first method for assessing the relevance of a model-based clustering result in a general framework. Standard validation criteria, like the adjusted Rand index, rely…
math.ST2019
Nonparametric estimation in a regression model with additive and multiplicative noise
Christophe Chesneau, Salima El Kolei, Junke Kou +1
In this paper, we consider an unknown functional estimation problem in a general nonparametric regression model with the feature of having both multiplicative and additive noise.We…
math.ST2018
Adaptive Density Estimation on Bounded Domains
Karine Bertin, Salima El Kolei, Nicolas Klutchnikoff
We study the estimation, in Lp-norm, of density functions defined on [0,1]^d. We construct a new family of kernel density estimators that do not suffer from the so-called boundary…