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handle: 11380/1198026 , 2318/1620275
Geostatistical techniques for functional data were introduced by Goulard and Voltz (1993), but have only been developed recently. Several papers consider ordinary and universal kriging models to predict a curve at an unmonitored site under the assumption of a constant or longitude and latitude dependent mean or kriging with external drift, where scalar and functional exogenous variables are introduced. However, uncertainty evaluation of a predicted curve remains an open issue. Given the difficulty to derive sampling distributions for functional data, prediction band derivation can be approached using resampling methods. To evaluate uncertainty of a predicted curve, we adapt two semi-parametric bootstrap approach for spatially correlated data to the functional data case. The approach is illustrated by means of a simulation study.
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