Spatial functional prediction from spatial autoregressive Hilbertian processes

Environmetrics

Volumn 23, Issue 1, 2012, Pages 119-128

  Ruiz Medina, M D ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Diagonalization of infinite dimensional parameters; Projection estimators; Spatial autoregressive functional series; Spatial functional prediction; Two parameter diffusion processes

Indexed keywords

DATA SET; EIGENVALUE; ESTIMATION METHOD; NUMERICAL MODEL; PERFORMANCE ASSESSMENT; PREDICTION; SEA SURFACE TEMPERATURE; SPATIAL ANALYSIS; TEMPERATURE PROFILE; WEATHER STATION;

EID: 84855936844     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.1143     Document Type: Article

References (24)

1. Baladandayuthapani V, Mallick B, Hong M, Lupton J, Turner N, Caroll R. 2008. Bayesian hierarchical spatially correlated functional data analysis with application to colon carcinogenesis. Biometrics 64(1): 64-73.
2. Basse M, Diop A, Dabo-Niang S. 2008. Mean square properties of a class of kernel density estimates for spatial functional random variables. In Annales De l'I.S.U.P. Publications de l'Institut de Statistique de l'Université de Paris, Numéro Spécial-Volume LII, Fascicule 1-2, Institut de Statistique, Université de Paris: Paris; 91-108.
3. Basu S, Reinsel G. 1993. Properties of the spatial unilateral first-order ARMA model. Advances in Applied Probability 25(3): 631-648.
4. Bosq D. 2000. Linear Processes in Function Spaces. Springer-Verlag: New York.
5. Bosq D. 2009. A note on asymptotic parametric prediction. Journal of Statistical Planning and Inference 139(4): 1506-1513.
6. Bosq D, Blanke D. 2007. Inference and Predictions in Large Dimensions. John Wiley & Sons: Paris.
7. Delicado P, Giraldo R, Comas C, Mateu J. 2010. Statistics for spatial functional data: some recent contributions. Environmetrics 21(3): 224-239.
8. Ferraty F, Vieu P. 2006. Nonparameric Functional Data Analysis. Springer: New York.
9. Frankignoul C, Hasselmann K. 1977. Stochastic climate models, Part II Application to sea-surface temperature anomalies and thermocline variability. Tellus 29(4): 289-305.
10. Guillas S, Lai M-J. 2010. Bivariate splines for spatial functional regression models. Journal of Nonparametric Statistics 22(4): 477-497.
11. Horváth L, Reeder R. 2011. Detecting changes in functional linear models. Journal of Multivariate Analysis (in press).
12. Monestiez P, Nerini D. 2008. A cokriging method for spatial functional data with applications in oceanology. In Functional and Operational Statistics, Dabo-Niang S, Ferraty F (eds), Contributions to Statistics. Chapter 36. Springer-Verlag: New York; 237-242.
13. Nerini D, Monestiez P, Manté C. 2010. Cokriging for spatial functional data. Journal of Multivariate Analysis 101(2): 409-418.
14. Nualart D, Sanz-Solé M. 1979. A Markov property for two-parameter Gaussian processes. Stochastica 3(1): 1-16.
15. Ramm AG. 2005. Inverse Problems. Springer: New York.
16. Ramsay J, Silverman B. 2005. Functional Data Analysis. Springer: New York.
17. Romano E, Balzanella A, Verde R. 2010. Clustering spatio-functional data: a model based approach. In Classification as a Tool for Research. Studies in Classification, Data Analysis, and Knowledge Organization, Vol. 2. Springer: Berlin-Heidelberg, New York; 167-175. DOI: 10.1007/978-3-642-10745-0-17.
18. Ruiz-Medina MD. 2011. Spatial autoregressive and moving average Hilbertian processes. Journal of Multivariate Analysis 102(2): 292-305.
19. Ruiz-Medina MD, Espejo R. 2011a. Spatial autoregressive functional plug-in prediction of ocean surface temperature. Stochastic Environmental Research and Risk Assessment (in press).
20. Ruiz-Medina MD, Espejo R. 2011b. Incorporating spatial functional interaction in the extrapolation of ocean surface temperature anomalies due to global warming. International Journal of Applied Earth Observation and Geoinformation (in press).
21. Ruiz-Medina MD, Porcu E, Fernández-Pascual R. 2011. The Dagum and auxiliary covariance families: towards reconciling two-parameter models that separate fractal dimension and Hurst effect. Probabilistic Engineering Mechanics 26: 259-268.
22. Ruiz-Medina MD, Salmerón R. 2010. Functional maximum-likelihood estimation of ARH(p) models. Stochastic Environmental Research and Risk Assessment 24(1): 131-146.
23. Salmerón R, Ruiz-Medina MD. 2009. Multispectral decomposition of functional autoregressive models. Stochastic Environmental Research and Risk Assessment 23(3): 289-297.
24. Tandeo P, Ailliot P, Autret E. 2011. Linear Gaussian state-space model with irregular sampling: application to sea surface temperature. Stochastic Environmental Research and Risk Assessment 25(6): 793-804.