Theoretical and practical aspects of the quadratic error in the local linear estimation of the conditional density for functional data

Authors:
Mustapha Rachdi;Ali Laksaci;Jacques Demongeot;Abdel Abdali;Fethi Madani
Affiliations:
-;-;-;-;-
Venue:
Computational Statistics & Data Analysis
Year:
2014

Citing 8
Cited 0

Estimation of the conditional distribution in regression with censored data: a comparative study

Computational Statistics & Data Analysis
Editorial: Statistics for Functional Data

Computational Statistics & Data Analysis
Local smoothing regression with functional data

Computational Statistics
Local linear regression for functional predictor and scalar response

Journal of Multivariate Analysis
Structural components in functional data

Computational Statistics & Data Analysis
Functional data analysis in shape analysis

Computational Statistics & Data Analysis
Recursive estimation of nonparametric regression with functional covariate

Computational Statistics & Data Analysis
Pairwise dynamic time warping for event data

Computational Statistics & Data Analysis

Quantified Score

Hi-index	0.03

Visualization

Abstract

The problem of the nonparametric local linear estimation of the conditional density of a scalar response variable given a random variable taking values in a semi-metric space is considered. Some theoretical and practical asymptotic properties of this estimator are established. The usefulness of the estimator is highlighted through the exact expression involved in the leading terms of the quadratic error, and by conducting a computational investigation to show the superiority of this estimation method for the conditional density and then for the conditional mode. Moreover, in order to verify the pertinence of the technique, from a practical point of view, it is applied to a real dataset.