Abstract
Nonparametric estimation of conditional quantiles for functional and spatial dependent variables. Consider Z(i) = (X-i, Y-i), i is an element of N-N be a F x R-valued measurable strictly stationary spatial process, where F is a semi-metric space. We study a kernel estimator of conditional quantiles of the univariate response variable Y-i given the functional variable X-i. The main aim of this Note is to prove the almost complete convergence (with rate) of this estimate. To cite this article: A. Laksaci, E Maref, C R. Acad. Sci. Paris, Ser. 1347 (2009). (C) 2009 Academie des sciences. Publie par Elsevier Masson SAS.