42 citations · 133 across the 15 of their papers we have counts for
19 papers
A new adaptive local polynomial density estimation procedure on complicated domains
Karine Bertin, Nicolas Klutchnikoff, Frédéric Ouimet
This paper presents a novel approach for pointwise estimation of multivariate density functions on known domains of arbitrary dimensions using nonparametric local polynomial estima…
Minimax properties of Dirichlet kernel density estimators
Karine Bertin, Christian Genest, Nicolas Klutchnikoff +1
This paper considers the asymptotic behavior in -Hölder spaces, and under losses, of a Dirichlet kernel density estimator proposed by Aitchison and Lauder (1985) for the a…
Least square estimators in linear regression models under negatively superadditive dependent random observations
Karine Bertin, Soledad Torres, Lauri Viitasaari
In this article we study the asymptotic behaviour of the least square estimator in a linear regression model based on random observation instances. We provide mild assumptions on t…
Adaptive estimation of the stationary density of a stochastic differential equation driven by a fractional Brownian motion
Karine Bertin, Nicolas Klutchnikoff, Fabien Panloup +1
We build and study a data-driven procedure for the estimation of the stationary density f of an additive fractional SDE. To this end, we also prove some new concentrations bounds f…
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…
AutoRegressive Planet Search: Application to the Kepler Mission
Gabriel A. Caceres, Eric D. Feigelson, G. Jogesh Babu +5
The 4-year light curves of 156,717 stars observed with NASA's Kepler mission are analyzed using the AutoRegressive Planet Search (ARPS) methodology described by Caceres et al. (201…