Local linear estimate of the nonparametric robust regression in functional data

2018 ◽  
Vol 134 ◽  
pp. 128-133 ◽  
Author(s):  
Faiza Belarbi ◽  
Souheyla Chemikh ◽  
Ali Laksaci
Keyword(s):  
Functional Data ◽  
Robust Regression ◽  
Linear Estimate ◽  
Local Linear ◽  
Local Linear Estimate

scholarly journals Limit Law of the Local Linear Estimate of the Conditional Hazard Function for Functional Data

2020 ◽  
Author(s):  
Oussama Bouanani ◽  
Abdelhak Guendouzi ◽  
Souheyla Chemikh
Keyword(s):  
Functional Data ◽  
Hazard Function ◽  
Kernel Method ◽  
Random Variable ◽  
Nonparametric Estimator ◽  
Finite Sample ◽  
Linear Estimate ◽  
Local Linear ◽  
Local Linear Estimate ◽  
Linear Technique

In this work, we treat a prediction problem via the conditional hazard function of a scalar response variable Y given a functional random variable X by using the local linear technique. The main purpose of this paper is to investigate the asymptotic normality of the nonparametric estimator of the conditional hazard function, under some general conditions. A simulation study, conducted to assess finite sample behavior, demonstrates the superiority of our method than the standard kernel method

Functional local linear estimate for functional relative-error regression

2017 ◽  
Vol 11 (4) ◽  
pp. 771-789 ◽  
Author(s):  
Abdelkader Chahad ◽  
Larbi Ait-Hennani ◽  
Ali Laksaci
Keyword(s):  
Relative Error ◽  
Linear Estimate ◽  
Local Linear ◽  
Local Linear Estimate

Functional data: local linear estimation of the conditional density and its application

Statistics ◽  
2013 ◽  
Vol 47 (1) ◽  
pp. 26-44 ◽  
Author(s):  
Jacques Demongeot ◽  
Ali Laksaci ◽  
Fethi Madani ◽  
Mustapha Rachdi
Keyword(s):  
Functional Data ◽  
Conditional Density ◽  
Linear Estimation ◽  
Local Linear ◽  
Local Linear Estimation

Functional data analysis: local linear estimation of the $$L_1$$ L 1 -conditional quantiles

2018 ◽  
Vol 28 (2) ◽  
pp. 217-240 ◽  
Author(s):  
Fahimah A. Al-Awadhi ◽  
Zoulikha Kaid ◽  
Ali Laksaci ◽  
Idir Ouassou ◽  
Mustapha Rachdi
Keyword(s):  
Data Analysis ◽  
Functional Data Analysis ◽  
Functional Data ◽  
Linear Estimation ◽  
Conditional Quantiles ◽  
Local Linear ◽  
Local Linear Estimation

scholarly journals A Class of Local Linear Estimators with Functional Data

2019 ◽  
pp. 379-391 ◽  
Author(s):  
Sara Leulmi ◽  
Fatiha Messaci
Keyword(s):  
Nonparametric Estimation ◽  
Metric Space ◽  
Functional Data ◽  
Regression Function ◽  
Real Data ◽  
Random Variable ◽  
Data Set ◽  
Response Variable ◽  
Local Linear ◽  
Linear Estimators

We introduce a local linear nonparametric estimation for the generalized regression function of a scalar response variable given a random variable taking values in a semi metric space. We establish a rate of uniform consistency for the proposed estimators. Then, based on a real data set we illustrate the performance of a particular studied estimator with respect to other known estimators

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