Title:
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Ordinary kriging for function-valued spatial data
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Author:
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Giraldo, R.; Delicado Useros, Pedro Francisco; Mateu, J.
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa; Universitat Politècnica de Catalunya. GREMA - Grup de Recerca en Estadística Matemàtica i les seves Aplicacions |
Abstract:
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In various scientific fields properties are represented by functions varying over space. In this paper, we present a methodology to make spatial predictions at non-data locations when the data values are functions. In particular, we propose both
an estimator of the spatial correlation and a functional kriging predictor. We adapt an
optimization criterion used in multivariable spatial prediction in order to estimate the
kriging parameters. The curves are pre-processed by a non-parametric fitting, where
the smoothing parameters are chosen by cross-validation. The approach is illustrated
by analyzing real data based on soil penetration resistances. |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica -Multivariate analysis -Geophysics -Cross-validation
Functional data
Non-parametric curve fitting
Ordinary kriging
Soil penetration resistance
Trace-variogram -Anàlisi multivariable -Geofísica -Classificació AMS::62 Statistics::62H Multivariate analysis -Classificació AMS::86 Geophysics |
Rights:
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Document type:
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Article - Published version Article |
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