Empirical properties of forecasts with the functional autoregressive model

Computational Statistics

Volumn 27, Issue 2, 2012, Pages 285-298

  Didericksen, Devin ^a   Kokoszka, Piotr ^a   Zhang, Xi ^a  

^a UTAH STATE UNIVERSITY   (United States)

Author keywords

Autoregressive process; Functional data; Prediction

Indexed keywords

EID: 84860354996     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-011-0256-2     Document Type: Article

References (18)

1. Antoniadis A, Sapatinas T (2003) Wavelet methods for continuous time prediction using Hilbert-valued autoregressive processes. J Multivar Anal 87: 133-158.
2. Besse P, Cardot H (1996) Approximation spline de la prévision d'un processus fonctionnel autorégressif d'ordre 1. Can J Stat 24: 467-487.
3. Besse P, Cardot H, Stephenson D (2000) Autoregressive forecasting of some functional climatic variations. Scand J Stat 27: 673-687.
4. Bosq D (2000) Linear processes in function spaces. Springer, New York.
5. Bosq D, Blanke D (2007) Inference and prediction in large dimensions. Wiley, New Jersey.
6. Damon J, Guillas S (2002) The inclusion of exogenous variables in functional autoregressive ozone forecasting. Environmetrics 13: 759-774.
7. Ferraty, F, Romain, Y (eds) (2011) The oxford handbook of functional data analysis. Oxford University Press, Oxford.
8. Ferraty F, Vieu P (2006) Nonparametric functional data analysis: theory and practice. Springer, New York.
9. Gabrys R, Horváth L, Kokoszka P (2010) Tests for error correlation in the functional linear model. J Am Stat Assoc 105: 1113-1125.
10. Hörmann S, Kokoszka P (2010) Weakly dependent functional data. Ann Stat 38: 1845-1884.
11. Hörmann S, Kokoszka P (2011) Consistency of the mean and the principal components of spatially distributed functional data. Tech. rep., Utah State University, Logan.
12. Horváth L, Kokoszka P (2011+) Inference for functional data with applications. Springer Series in Statistics, Springer, forthcoming.
13. Horváth L, Hušková M, Kokoszka P (2010) Testing the stability of the functional autoregressive process. J Multivar Anal 101: 352-367.
14. Kargin V, Onatski A (2008) Curve forecasting by functional autoregression. J Multivar Anal 99: 2508-2526.
15. Kokoszka P, Zhang X (2010) Improved estimation of the kernel of the functional autoregressive process. Tech. rep., Utah State University, Logan.
16. Ramsay J, Hooker G, Graves S (2009) Functional data analysis with R and MATLAB. Springer, New York.
17. Ramsay JO, Silverman BW (2002) Applied functional data analysis. Springer, New York.
18. Ramsay JO, Silverman BW (2005) Functional data analysis. Springer, New York.