Sur la régression quantile pour variable explicative fonctionnelle : Cas des données spatiales

Asymptotic properties of the kernel estimate of spatial conditional mode when the regressor is functional

“…Laksaci and Maref (2009) obtained a rate of almost complete convergence of the kernel estimate of the spatial conditional quantiles where the regressor is of functional nature. The asymptotic normality of this estimate has been studied by Dabo Niang et al (2011b). Among the recent papers on the conditional mode estimation in functional statistics, we refer to Dabo Niang and Laksaci (2010), Ezzahrioui and Ould Saíd (2008) and Ferraty et al (2010).…”