In this work we propose optimally weighted L2 distances for spatially dependent functional data. Two different spatial structures have been considered: a classical georeferenced spatial structure and a connected network one. In these two situations, assuming a penalized basis representation for the functional data, we consider weight functions depending on the spatial location. Real metereological data have been analyzed in order to show performances of the proposed distances.
Weighted distances for spatially dependent functional data
Andrea Diana
Membro del Collaboration Group
;Elvira RomanoMembro del Collaboration Group
;
2021
Abstract
In this work we propose optimally weighted L2 distances for spatially dependent functional data. Two different spatial structures have been considered: a classical georeferenced spatial structure and a connected network one. In these two situations, assuming a penalized basis representation for the functional data, we consider weight functions depending on the spatial location. Real metereological data have been analyzed in order to show performances of the proposed distances.File in questo prodotto:
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