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DOI:10.1080/10485250802668909 - Corpus ID: 122395429
@article{Burba2009kNearestNM, title={k-Nearest Neighbour method in functional nonparametric regression}, author={Florent Burba and Fr{\'e}d{\'e}ric Ferraty and Philippe Vieu}, journal={Journal of Nonparametric Statistics}, year={2009}, volume={21}, pages={453 - 469}, url={https://api.semanticscholar.org/CorpusID:122395429}}- Florent Burba, F. Ferraty, P. Vieu
- Published 17 April 2009
- Mathematics
- Journal of Nonparametric Statistics
The effectiveness of the k-nearest neighbour (kNN) method in nonparametric functional regression is illustrated by comparing it with the traditional kernel approach first on simulated datasets and then on a real chemometrical example.
143 Citations
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143 Citations
- Wahiba BOUABçAM. Attouch
- 2015
Mathematics, Economics
The aim of this article is to study the nonparametric estimation of the conditional mode by the k-Nearest Neighbor method for functional explanatory variables. We give the rate of the almost complete…
- 4
- M. Simon
- 2011
Mathematics
This paper examines the k-nearest neighbours method in functional non-parametric regression for α-mixing data. We prove almost complete convergence and give the almost complete convergence rate the…
- I. AlmanjahieKhlood A. AissiriAli LaksaciZouaoui Chikr Elmezouar
- 2020
Mathematics
Communications in Statistics - Theory and Methods
Abstract This paper deals with the problem of the nonparametric analysis by the relative-error regression when the explanatory of a variable is of infinite dimension. Based on k-Nearest Neighbors…
- 6
- S. BouzebdaAli LaksaciMustapha Mohammedi
- 2022
Mathematics
Revista Matemática Complutense
In the present paper, we consider the k -Nearest Neighbors ( k -NN) method in the single index regression model in the case of a functional predictor and a scalar response. The main result of this…
- 12
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- M. AttouchT. Benchikh
- 2012
Economics, Mathematics
We propose a family of robust nonparametric estimators for robust regression function based on k-nearest neighbour (k-NN) method. We establish the asymptotic normality of the estimator under the…
- 6
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- Mustapha RachdiAli LaksaciZ. KaidAbbassia BenchihaF. Al-Awadhi
- 2020
Mathematics
Statistica Neerlandica
We combine the k‐Nearest Neighbors (kNN) method to the local linear estimation (LLE) approach to construct a new estimator (LLE‐kNN) of the regression operator when the regressor is of functional…
- 11
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- Xingyu ChenDirong Chen
- 2018
Mathematics
The mutual nearest neighbors (MNN) method, which is a variant of kNN method, is applied to functional regression, and comparative experimental analyses show that MNN method preserves the main merits inherent in knn method and achieves better performances with proper proximity measures.
- S. MüllerJürgen Dippon
- 2011
Mathematics
This paper examines the k-nearest neighbours method in functional non-parametric regression for α-mixing data. We prove almost complete convergence and give the almost complete convergence rate the…
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- Mustapha MohammediS. BouzebdaAli LaksaciOussama Bouanani
- 2022
Mathematics
Communications in Statistics - Theory and Methods
Abstract In this article, we consider the k-Nearest Neighbors (k-NN) method in a single index regression model when the explanatory variable is valued in functional space in the setting of the…
- 5
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- Lydia-Zaitri KaraAli LaksaciMustapha RachdiP. Vieu
- 2017
Mathematics
J. Multivar. Anal.
- 76
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Let (X, Y), (X1, Y1), .•, (X,, Yn ) be independent identically distributed random vectors from R dxR, and let E(I Y 1 p) < oo for some p > 1 . We wish to estimate the regression function m(x) = E(Y I…
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Soient X un vecteur aleatoire de ℝp, Y une v.a.r., (Xi,Yi), i=1,n, une suite de n realisations independantes du couple (X,Y) et x un point fixe dans ℝp. On considere l’estimateur de E(Y/X=x) defini…
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