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Spatial regression estimation for functional data with spatial dependency

Abstract : We propose a nonparametric estimator of the regression function of a scalar spatial variable Yi given a functional variable Xi. The specificity of the proposed estimator is to depend on two kernels in order to control both the distance between observations and spatial locations. Mean square consistency of this estimator is obtained when the sample considered is an a-mixing sequence. Lastly, numerical results are provided to illustrate the behavior of our estimator.
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Contributor : Camille Ternynck <>
Submitted on : Thursday, June 26, 2014 - 3:44:18 PM
Last modification on : Thursday, February 21, 2019 - 11:02:54 AM


  • HAL Id : hal-01015512, version 1



Camille Ternynck. Spatial regression estimation for functional data with spatial dependency. Journal de la Société Française de Statistique, Société Française de Statistique et Société Mathématique de France, 2014, 155 (2), pp.138-160. ⟨hal-01015512⟩



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