Journal of Mathematical Modelling and Algorithms

, Volume 4, Issue 3, pp 237–252 | Cite as

Variography for Model Selection in Local Polynomial Regression with Spatial Data

  • J. M. MatíasEmail author
  • W. González-Manteiga
  • M. Francisco-Fernández
  • C. Ordóñez
Research Article


In this work, we apply variographic techniques from spatial statistics to the problem of model selection in local polynomial regression with multivariate data. These techniques permit selection of the kernel and smoothing matrix with less computational load and interpretation of the regularity of the regression function in different directions. Moreover, they may represent the only feasible alternative for problems of a certain dimensionality.

Key words

local polynomial regression model selection bandwidth matrix kernels variography spatial statistics 

Mathematical Subject Classification (2000)

62G08 62H11 65C60 86A32 91B72 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • J. M. Matías
    • 1
    • 4
    Email author
  • W. González-Manteiga
    • 2
  • M. Francisco-Fernández
    • 3
  • C. Ordóñez
    • 1
  1. 1.University of VigoVigoSpain
  2. 2.University of Santiago de CompostelaSantiago de CompostelaSpain
  3. 3.University of La CoruñaLa CoruñaSpain
  4. 4.Depto. de Ingegneria de los Recursos, de Naturales y Medio AmbienteETS de Ingenieros de MinasMadridVigoSpain

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