178 citations · 324 across the 24 of their papers we have counts for
6 papers · 1 filter
Regression modeling on stratified data with the lasso
Edouard Ollier, Vivian Viallon
We consider the estimation of regression models on strata defined using a categorical covariate, in order to identify interactions between this categorical covariate and the other…
Testing additivity in nonparametric regression under random censorship
Mohammed Debbarh, Vivian Viallon
In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic…
Uniform limit laws of the logarithm for nonparametric estimators of the regression function in presence of censored data
Bertrand Maillot, Vivian Viallon
In this paper, we establish uniform-in-bandwidth limit laws of the logarithm for nonparametric Inverse Probability of Censoring Weighted (I.P.C.W.) estimators of the multivariate r…
Uniform limit laws of the logarithm for estimators of the additive regression function in the presence of right censored data
Mohammed Debbarh, Vivian Viallon
It has been recently shown that nonparametric estimators of the additive regression function could be obtained in the presence of right censoring by coupling the marginal integrati…
Asymptotic normality for estimators of the additive regression components under random censorship
M. Debbarh, V. Viallon
We establish asymptotic normality for estimators of the additive regression components under random censorship. To build our estimators, we couple the marginal integration method (…
Functional limit laws for the increments of the quantile process; with applications
Vivian Viallon
We establish a functional limit law of the logarithm for the increments of the normed quantile process based upon a random sample of size . We extend a limit law obtain…