Robust nonparametric estimation for functional data

C Crambes, L Delsol, A Laksaci - Journal of Nonparametric …, 2008 - Taylor & Francis
Robust estimation provides an alternative approach to classical methods, for instance, when
the data are affected by the presence of outliers. Recently, these robust estimators have …

Semi-functional partially linear regression model with responses missing at random

N Ling, R Kan, P Vieu, S Meng - Metrika, 2019 - Springer
This paper focuses on semi-functional partially linear regression model, where a scalar
response variable with missing at random is explained by a sum of an unknown linear …

Asymptotic normality of a robust estimator of the regression function for functional time series data

M Attouch, A Laksaci, EO Saïd - Journal of the Korean Statistical Society, 2010 - Elsevier
We propose a family of robust nonparametric estimators for a regression function based on
the kernel method. We establish the asymptotic normality of the estimator under the …

Functional data analysis: estimation of the relative error in functional regression under random left-truncation model

B Altendji, J Demongeot, A Laksaci… - Journal of …, 2018 - Taylor & Francis
In this paper, we investigate the relationship between a functional random covariable and a
scalar response which is subject to left-truncation by another random variable. Precisely, we …

Asymptotic normality of conditional density estimation in the single index model for functional time series data

N Ling, Q Xu - Statistics & Probability Letters, 2012 - Elsevier
In this paper, we investigate the estimation of conditional density function based on the
single-index model for functional time series data. The asymptotic normality of the …

Strong convergence of robust equivariant nonparametric functional regression estimators

G Boente, A Vahnovan - Statistics & Probability Letters, 2015 - Elsevier
Robust nonparametric equivariant M-estimators for the regression function have been
extensively studied when the covariates are in R k. In this paper, we derive strong uniform …

Nonparametric estimation of the relative error in functional regression and censored data.

B Mechab, N Hamidi… - Chilean Journal of …, 2019 - search.ebscohost.com
In this paper, the almost complete consistency and the asymptotic normality of the estimator
of the regression operator in the case of a censored response given a functional explanatory …

On the nonparametric estimation of the functional ψ-regression for a random left-truncation model

S Derrar, A Laksaci, EO Saïd - Journal of statistical Theory and Practice, 2015 - Springer
In this article we study a family of nonparametric estimators for the ψ-regression model when
the response variable is subject to left-truncation by another random variable. Under …

Consistency results of the M‐regression function estimator for stationary continuous‐time and ergodic data

F Mokhtari, R Rouane, S Rahmani, M Rachdi - Stat, 2022 - Wiley Online Library
This paper is devoted to the study of asymptotic properties of the kernel estimator of the
robust regression function for stationary continuous‐time and ergodic data. Such a …

Robust regression analysis for a censored response and functional regressors

L Aït Hennani, M Lemdani… - Journal of Nonparametric …, 2019 - Taylor & Francis
Let (T n) n≥ 1 be an independent and identically distributed (iid) sequence of interest
random variables (rv) distributed as T. In censorship models, T is subject to random …