Cokriging for spatial functional data

Journal of Multivariate Analysis

Volumn 101, Issue 2, 2010, Pages 409-418

  Nerini, David ^a   Monestiez, Pascal ^b   Manté, Claude ^a  

^a STATION MARINE D ENDOUME   (France)

^b INRA   (France)

Author keywords

Cokriging; Coregionalization; Functional data analysis; Functional linear model; Legendre polynomials; RKHS

Indexed keywords

EID: 70449727405     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2009.03.005     Document Type: Article

References (20)

1. Ramsay J.O., and Silverman B.W. Functional Data Analysis (2005), Springer, New-York
2. Goulard M., and Voltz M. Geostatistical interpolation of curves: A case study in soil science. In: Soares A. (Ed). Geostatistics Troia'92 vol. 2 (1992), Kluwer Academic Publishers 805-816
3. Dabo-Niang S., and Yao A.-F. Kernel regression estimation for continuous spatial processes. Math. Methods Statist. 16 (2007) 298-317
4. P. Delicado, R. Giraldo, J. Mateu, Point-wise Kriging for Spatial Prediction of Functional Data, in: S.Dabo-Niang, F. Ferraty (eds.), Proceedings of the First International Workshop on Functional and Operatorial Statistics, Springer Series in Contributions to Statistics, Berlin, 2008, pp. 135-142
5. Meiring W. Oscillations and time trends in stratospheric ozone levels: A functional data analysis approach. J. Amer. Statist. Assoc. 102 (2007) 788-802
6. Eriksen C.C., Osse T.J., Light R.D., Wen T., Lehman T.W., Sabin P.L., Ballard J.W., and Chiodi A.M. Seaglider: A long-range autonomous underwater vehicle for oceanographic research. IEEE Oceanic Eng. 26 (2001) 424-436
7. Wackernagel H. Multivariate Geostatistics: An Introduction with Applications (2003), Springer, New-York
8. Goulard M., and Voltz M. Linear coregionalization model: Tools for estimation and choice of multivariate variograms. Math. Geol. 24 (1992) 269-286
9. Cuevas A., Febrero M., and Fraiman R. Linear functional regression: The case of fixed design and functional response. Canadian J. Statist. 30 (2002) 285-300
10. Cardot H., Ferraty F., and Sarda P. Functional linear model. Statist. Probab. Lett. 45 (1999) 11-22
11. Berlinet A., and Thomas-Agnan C. Reproducing Kernel Hilbert Spaces in Probability and Statistics (2004), Kluwer Academic Publishers
12. Gautschi W. Orthogonal Polynomials: Computation and Approximation (2004), Oxford University Press, Oxford
13. Craven P., and Wahba G. Smoothing Noisy Data with Splines Functions. Numer. Math. 31 (1979) 377-403
14. Bailleul F., Charrassin J.-.B., Ezraty R., Girard-Ardhuin F., McMahon C.R., Field I.C., and Guinet Ch. Southern elephant seals from Kerguelen Islands confronted by Antarctic Sea ice. Changes in movements and in diving behaviour. Deep-Sea Res. II 54 (2007) 343-355
15. Bailleul F., Charrassin J.-.B., Monestiez P., Roquet F., Biuw M., and Guinet Ch. Successful foraging zones of southern elephant seals from the Kerguelen Islands in relation to oceanographic conditions. Phil. Trans. R. Soc. B 362 (2007) 2169-2181
16. Besse Ph., and Ramsay J.O. Principal Components Analysis of Sampled Functions. Psychometrika 51 (1986) 285-311
17. Pearce N.D., and Wand M.P. Penalized splines and reproducing kernel methods. J. Amer. Statist. Assoc. 60 (2006) 233-240
18. Ramsay J.O. Monotone regression splines in action. Statist. Sci. 3 (1988) 425-461
19. Eilers P., and Marx B. Flexible smoothing with B-splines and penalties. Statist. Sci. 11 (1996) 89-121
20. Zhou S., and Shen X. Spatially adaptive regression splines and accurate knot selection schemes. J. Amer. Statist. Assoc. 96 (2001) 247-259