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On the quantile regression when the regressor is functional: Spatial data case
Journal article   Peer reviewed

On the quantile regression when the regressor is functional: Spatial data case

Sophie Dabo-Niang, Zoulikha Kaid and Ali Laksaci
Comptes rendus. Mathématique, Vol.349(23-24), pp.1287-1291
01/12/2011
DOI: https://doi.org/10.1016/j.crma.2011.10.025

Abstract

Mathematics Physical Sciences Science & Technology
In this Note, we study the spatial relation between a real random variable Y and a functional variable X via conditional quantiles estimation. More precisely, we consider a random filed (Z(i) = (X-i, Y-i)(i is an element of NN), N >= 1) with same law as (X, Y) and we establish the p-mean consistency of the kernel estimate of the conditional quantile of Y-i given X-i. (C) 2011 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.

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