Point-wise Kriging for Spatial Prediction of Functional Data
We propose a methodology to carry out spatial prediction when measured data are curves. Our approach is based on both the kriging predictor and the functional linear point-wise model theory. The spatial prediction of an unobserved curve is obtained as a linear combination of observed functions. We employ a solution based on basis function to estimate the functional parameters. A real data set is used to illustrate the proposals.
KeywordsFunctional Parameter Ordinary Kriging Spatial Prediction Functional Data Analysis Functional Principal Component
Unable to display preview. Download preview PDF.
- Ferraty, F. and Vieu, P.: Non parametric functional data analysis. Theory and practice. New York, Springer. (2006).Google Scholar
- Ramsay, J. and Silverman, B.: Functional Data Analysis, second edition. New York, Springer. (2005).Google Scholar
- ilverman, B.: Incorporating parametric e ects into functional principal components. Journal Royal Statistical Society, Series B. 57, 673-689 (1995).Google Scholar
- Wackernagel, H.: Multivariable geostatistics. An introduction with applications. Berlin, Springer-Verlag. (1995).Google Scholar