2 citations · 3 across the 6 of their papers we have counts for
6 papers
Asymptotic Normality of the Additive Regression Components for Continuous Time Processes
Mohammed Debbarh, Bertrand Maillot
In multivariate regression estimation, the rate of convergence depends on the dimension of the regressor. This fact, known as the curse of the dimensionality, motivated several wor…
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…
Some Uniform Limit Results in Additive Regression Model
Mohammed Debbarh
We establish some uniform limit results in the setting of additive regression model estimation. Our results allow to give an asymptotic 100% confidence bands for these components.…
Additive Regression Model for Continuous Time Processes
Mohammed Debbarh, Bertrand Maillot
In the setting of additive regression model for continuous time process, we establish the optimal uniform convergence rates and optimal asymptotic quadratic error of additive regre…
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 (…