Sign in
Back
FDA: strong consistency of the kNN local linear estimation of the functional conditional density and mode
Journal article   Peer reviewed

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

Zouaoui Chikr-Elmezouar, Ibrahim M. Almanjahie, Ali Laksaci and Mustapha Rachdi
Journal of nonparametric statistics, Vol.31(1), pp.175-195
02/01/2019
DOI: https://doi.org/10.1080/10485252.2018.1538450

Abstract

almost-complete convergence conditional density function conditional mode Functional data analysis k-nearest neighbours method Kernel method local linear estimation nonparametric functional data analysis Secondary: 62E20
In this paper we present a new estimator of the conditional density and mode when the co-variables are of functional kind. This estimator is a combination of both, the k-Nearest Neighbours procedure and the functional local linear estimation. Then, for each statistical parameter (conditional density or mode), results concerning the strong consistency and rate of convergence of the estimators are presented. Finally, their performances, for finite sample sizes, are illustrated by using simulated data.

Metrics

1 Record Views

Details