Clustering Geostatistical Functional Data

Advanced Statistical Methods for the Analysis of Large Data-Sets(2011)

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Abstract
In this paper, we among functional data. A first strategy aims to classify curves spatially dependent and to obtain a spatio-functional model prototype for each cluster. It is based on a Dynamic Clustering Algorithm with on an optimization problem that minimizes the spatial variability among the curves in each cluster. A second one looks simultaneously for an optimal partition of spatial functional data set and a set of bivariate functional regression models associated to each cluster. These models take into account both the interactions among different functional variables and the spatial relations among the observations.
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Key words
Ordinary Kriging,Optimal Partition,Allocation Function,Spatial Correlation Function,Functional Linear Regression
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