Hierarchical clustering of spatially correlated functional data
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Títol
Hierarchical clustering of spatially correlated functional dataData de publicació
2012-11Editor
John Wiley & SonsCita bibliogràfica
Statistica Neerlandica, 66, 4, p. 403-421Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9574.2012.00522.x/abstractVersió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
Classification problems of functional data arise naturally in many applications. Several
approaches have been considered for solving the problem of funding groups based on functional data. In this paper we are ... [+]
Classification problems of functional data arise naturally in many applications. Several
approaches have been considered for solving the problem of funding groups based on functional data. In this paper we are interested in detecting groups when the functional data
are spatially correlated. Our methodology allows to find spatially homogeneous groups
of sites when the observations at each sampling location consist of samples of random
functions. In univariable and multivariable geostatistics various methods of incorporating
spatial information into the clustering analysis have been considered. Here we extend these
methods to the functional context in order to fulfill the task of clustering spatially correlated curves. In our approach we initially use basis functions to smooth the observed data
and then we weight the dissimilarity matrix among curves by either the trace-variogram
or the multivariable variogram calculated with the coeficients of the basis functions. As
an illustration the methodology is applied to a real data set corresponding to average daily
temperatures measured at 35 Canadian weather stations. [-]
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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