Residual kriging for functional data. Application to the spatial prediction of salinity curves
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Residual kriging for functional data. Application to the spatial prediction of salinity curvesData de publicació
2015Editor
Taylor & FrancisCita bibliogràfica
REYES, Adriana; GIRALDO, Ramón; MATEU, Jorge. Residual kriging for functional data. Application to the spatial prediction of salinity curves. Communications in Statistics Theory and Methods (2015), v. 44, n. 4, pp. 798-809Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.tandfonline.com/doi/abs/10.1080/03610926.2012.753087Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
Recently several methodologies for carrying out geostatistical analysis of functional
data has been proposed. All of them assume that the spatial functional process
considered is stationary. However in practice we ... [+]
Recently several methodologies for carrying out geostatistical analysis of functional
data has been proposed. All of them assume that the spatial functional process
considered is stationary. However in practice we often have nonstationary functional
data sets because there is spatial trend in the mean. Here we propose a methodology
to extend kriging predictors for functional data to the case where the mean function
is not constant through the region of interest. We consider an approach based on
the classical residual kriging method used in univariate geostatistcs. We propose a
three steps procedure. Initially a functional regression model is used for detrending
the mean. Posteriorly we apply kriging methods for functional data to the regression
residuals for doing prediction of a residual curve on a non-data location. Finally the
prediction curve is obtained as the sum of the trend and the residual prediction.
We apply the methodology to a salinity data set corresponding to 21 salinity curves
recorded a the Ci´enaga Grande de Santa Marta estuary, located in the Caribbean
coast of Colombia. A cross-validation analysis was carried out in order to establish
the performance of the methodology proposed. [-]
Publicat a
Communications in Statistics Theory and Methods (2015), v. 44, n. 4Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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