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 Strong consistency of local linear estimation of a conditional density function under random censorship

2020 ◽  
Vol 9 (3) ◽  
pp. 513-529
Author(s):  
Abdelkader Benkhaled ◽  
Fethi Madani ◽  
Salah Khardani
Keyword(s):  
Strong Consistency ◽  
Computational Study ◽  
Almost Sure Convergence ◽  
Simulated Data ◽  
Real Data ◽  
Point Of View ◽  
Conditional Density ◽  
Linear Estimation ◽  
Local Linear ◽  
Local Linear Estimation

Abstract In this paper, we study nonparametric local linear estimation of the conditional density of a randomly censored scalar response variable given a functional random covariate. We establish under general conditions the pointwise almost sure convergence with rates of this estimator under $$\alpha $$ α -mixing dependence. Finally, to show interests of our results, on the practical point of view, we have conducted a computational study, first on a simulated data and, then on some real data concerning Kidney transplant data.

FDA: strong consistency of the kNN local linear estimation of the functional conditional density and mode

2018 ◽  
Vol 31 (1) ◽  
pp. 175-195 ◽  
Author(s):  
Zouaoui Chikr-Elmezouar ◽  
Ibrahim M. Almanjahie ◽  
Ali Laksaci ◽  
Mustapha Rachdi
Keyword(s):  
Strong Consistency ◽  
Conditional Density ◽  
Linear Estimation ◽  
Local Linear ◽  
Local Linear Estimation
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