AStA Advances in Statistical Analysis

, Volume 99, Issue 2, pp 131–160 | Cite as

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

Original Paper
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Abstract

The kernel method estimator of the spatial modal regression for functional regressors is proposed. We establish, under some general mixing conditions, the \(L^p\)-consistency and the asymptotic normality of the estimator. The performance of the proposed estimator is illustrated in a real data application.

Keywords

Spatial process Conditional mode estimate Non-parametric Functional data 

Mathematics Subject Classification

62G20 62G08 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.EQUIPPE, Maison de la rechercheVilleneuve d’Ascq cedexFrance
  2. 2.Laboratoire de statistique et processus stochastiquesUniv. Djillali LiabèsSidi Bel AbbèsAlgeria

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