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On spatial conditional mode estimation for a functional regressor
Journal article   Peer reviewed

On spatial conditional mode estimation for a functional regressor

Sophie Dabo-Niang, Zoulikha Kaid and Ali Laksaci
Statistics & probability letters, Vol.82(7), pp.1413-1421
01/07/2012
DOI: https://doi.org/10.1016/j.spl.2012.03.029

Abstract

Conditional mode estimate Functional data Non-parametric Spatial process
Let (Zi=(Xi,Yi),i∈ZN) be a F×R-valued measurable strictly stationary spatial process, where F is a semi-metric space. We study a kernel estimator of the conditional mode of the univariate response variable Yi given the functional variable Xi. The main aim of this paper is to prove the almost complete convergence (with rate) of this estimate

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