2026-04-17T19:10:06Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/21672025-07-17T08:08:52Zcom_2072_1033col_2072_452950

Continuous time-varying kriging for spatial prediction of functional data: An environmental application Giraldo, Ramón Delicado Useros, Pedro Francisco Mateu, Jorge 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 Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica::Modelització estadística Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica::Anàlisi multivariant Geostatistics Multivariate analysis Geophysics Geostatistics Functional Data Analysis Basis functions Coregionalization linear model Cross-validation Functional linear point-wise model Ordinary kriging Geoestadística Anàlisi multivariant Geofísica Anàlisi multivariable Classificació AMS::62 Statistics::62H Multivariate analysis Classificació AMS::86 Geophysics Spatially correlated functional data is present in a wide range of environmental disciplines and, in this context, efficient prediction of curves is a key issue. We present an approach for spatial prediction based on the functional linear point-wise model adapted to the case of spatially correlated curves. First, a smoothing process is applied to the curves by expanding the curves and the functional parameters in terms of a set of Fourier basis functions. The number of basis functions is chosen by cross-validation. Then, the spatial prediction of a curve is obtained as a point-wise linear combination of the smoothed data. The prediction problem is solved by estimating a linear model of coregionalization to set the spatial dependence among the fitted coefficients. We extend an optimization criterion used in multivariable geostatistics to the functional context. The method is illustrated by smoothing and predicting temperature curves measured at 35 Canadian weather stations. 2008-07-07 Article https://hdl.handle.net/2117/2167 eng J-01152 http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain 25 p. application/pdf