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20152022
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math.ST2022

Statistical analysis of a hierarchical clustering algorithm with outliers

Nicolas Klutchnikoff, Audrey Poterie, Laurent Rouviere

It is well known that the classical single linkage algorithm usually fails to identify clusters in the presence of outliers. In this paper, we propose a new version of this algorit…

math.ST2019

Adaptive regression with Brownian path covariate

Karine Bertin, Nicolas Klutchnikoff

This paper deals with estimation with functional covariates. More precisely, we aim at estimating the regression function of a continuous outcome against a standard Wiener…

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…

math.ST2016

Kernel estimation of the intensity of Cox processes

Nicolas Klutchnikoff, Gaspar Massiot

Counting processes often written are used in several applications of biostatistics, notably for the study of chronic diseases. In the case of respirato…

math.ST2016

Pointwise Adaptive Estimation of the MarginalDensity of a Weakly Dependent Process

Karine Bertin, Nicolas Klutchnikoff

This paper is devoted to the estimation of the common marginal density function of weakly dependent processes. The accuracy of estimation is measured using pointwise risks. We prop…

math.ST2015

On clustering procedures and nonparametric mixture estimation

Stéphane Auray, Nicolas Klutchnikoff, Laurent Rouvière

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of p…