Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Spatial functional prediction from spatial autoregressive Hilbertian processes
The class of spatial autoregressive Hilbertian models (SARH(1) processes) is considered. The projection estimation methodology proposed here is based on the biorthogonal eigenfunction bases diagonalizing the infinite‐dimensional parameters involved in the SARH(1) state equation. These bases remove the ill‐posed nature of the functional equation system defining the moment‐based estimators of such parameters. The performance of the proposed projection estimation methodology, in the SARH(1) context, is illustrated in terms of simulated and real‐data examples. In particular, this methodology provides a suitable spatial functional extrapolation of tropical and subtropical weak‐dependence ocean surface temperature profiles, in the absence of high spatial concentration of weather stations, removing computational problems associated with matrix determinant close to zero. Copyright © 2011 John Wiley & Sons, Ltd.
Spatial functional prediction from spatial autoregressive Hilbertian processes
The class of spatial autoregressive Hilbertian models (SARH(1) processes) is considered. The projection estimation methodology proposed here is based on the biorthogonal eigenfunction bases diagonalizing the infinite‐dimensional parameters involved in the SARH(1) state equation. These bases remove the ill‐posed nature of the functional equation system defining the moment‐based estimators of such parameters. The performance of the proposed projection estimation methodology, in the SARH(1) context, is illustrated in terms of simulated and real‐data examples. In particular, this methodology provides a suitable spatial functional extrapolation of tropical and subtropical weak‐dependence ocean surface temperature profiles, in the absence of high spatial concentration of weather stations, removing computational problems associated with matrix determinant close to zero. Copyright © 2011 John Wiley & Sons, Ltd.
Spatial functional prediction from spatial autoregressive Hilbertian processes
Ruiz‐Medina, M. D. (Autor:in)
Environmetrics ; 23 ; 119-128
01.02.2012
10 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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