Title
Data-driven kNN estimation in nonparametric functional data analysis.
Abstract
Kernel nearest-neighbor (kNN) estimators are introduced for the nonparametric analysis of statistical samples involving functional data. Asymptotic theory is provided for several different target operators including regression, conditional density, conditional distribution and hazard operators. The main point of the paper is to consider data-driven methods of selecting the number of neighbors in order to make the proposed methods fully automatic. As a by-product of our proofs we state consistency results for kNN functional estimators which are uniform in the number of neighbors (UINN). Some simulated experiences illustrate the feasibility and the finite-sample behavior of the method.
Year
DOI
Venue
2017
10.1016/j.jmva.2016.09.016
Journal of Multivariate Analysis
Keywords
Field
DocType
primary,secondary
Functional data analysis,Kernel (linear algebra),Econometrics,Conditional probability distribution,Regression,Nonparametric statistics,Mathematical proof,Operator (computer programming),Statistics,Mathematics,Estimator
Journal
Volume
Issue
ISSN
153
C
0047-259X
Citations 
PageRank 
References 
6
0.63
4
Authors
4
Name
Order
Citations
PageRank
Lydia-Zaitri Kara160.63
Ali Laksaci2112.08
M. Rachdi3337.25
Philippe Vieu414717.84