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On the functional local linear estimate for spatial regression

Author

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  • Chouaf Abdelhak
  • Laksaci Ali

    (Univ. Djillali Liabes. Sidi Bel Abbes, Lab. de Mathematiques, Sidi Bel Abbes 22000, Algerien)

Abstract

Consider Zi = (Xi,Yi), i ∈ ℤN be an F×ℝ-valued measurable strictly stationary spatial process, where F is a semi-metric space. We study the spatial covariation between Xi and Yi by using the local linear estimate of the functional spatial regression E[Yi|Xi]. The main result of this work is the establishment of the almost complete convergence for the proposed estimator, under some general conditions. We illustrate our methodology by applying the estimator to climatological data.

Suggested Citation

  • Chouaf Abdelhak & Laksaci Ali, 2012. "On the functional local linear estimate for spatial regression," Statistics & Risk Modeling, De Gruyter, vol. 29(3), pages 189-214, August.
    • Handle: RePEc:bpj:strimo:v:29:y:2012:i:3:p:189-214:n:4
    DOI: 10.1524/strm.2012.1114
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    References listed on IDEAS

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