Functional Principal Components Analysis by Choice of Norm

Journal of Multivariate Analysis

Volumn 71, Issue 2, 1999, Pages 262-276

  Ocana F A ^a   Aguilera, A M ^a   Valderrama, M J ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Functional data analysis; Hilbert space; PCA; smoothing

Indexed keywords

EID: 0041734973     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1999.1844     Document Type: Article

References (8)

1. Dauxois J., Pousse A. Les analyses factorielles en calcul des probabilités et en statistique: Essai d'étude synthétique. 1976;Université Paul Sabatier, Toulouse.
2. Dauxois J., Pousse A., Romain Y. Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference. J. Multivariate Anal. 12:1982;136-154.
3. Pezulli S. D., Silverman B. W. Some properties of smoothed principal components analysis for functional data. Comput. Statist. 8:1993;1-16.
4. Ramsay J. O., Dalzell C. J. Some tools for functional data analysis. J. Roy. Statist. Soc. Ser. B. 53:1991;539-572.
5. Ramsay J. O., Flanagan R., Wang X. The functional data analysis of the pinch force of human fingers. J. Roy. Statist. Soc. Ser. C. 44:1995;17-30.
6. Ramsay J. O., Silverman B. W. Functional Data Analysis. 1997;Springer-Verlag, New York.
7. Riesz F., Sz-Nagy B. Leçons d'analyse fonctionnelle. 1955;Gauthier-Villars, Paris.
8. Silverman B. W. Smoothed functional principal components analysis by choice of norm. Ann. Statist. 24:1996;1-24.