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Robust principal component analysis for functional data

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Author Info
N. Locantore
J. Marron ()
D. Simpson
N. Tripoli
J. Zhang
K. Cohen
Graciela Boente
Ricardo Fraiman
Babette Brumback
Christophe Croux
Jianqing Fan
Alois Kneip
John Marden
Daniel Peña
Javier Prieto
Jim Ramsay
Mariano Valderrama
Ana Aguilera
N. Locantore
J. Marron
D. Simpson
N. Tripoli
J. Zhang
K. Cohen

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Abstract

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File URL: http://hdl.handle.net/10.1007/BF02595862
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Publisher Info
Article provided by Springer in its journal Test.

Volume (Year): 8 (1999)
Issue (Month): 1 (June)
Pages: 1-73
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:spr:testjl:v:8:y:1999:i:1:p:1-73

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Web page: http://www.springerlink.com/link.asp?id=120411

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Related research
Keywords: cornea curvature maps; functional data; principal components analysis; robust statistics; spherical PCA; Zernike basis; 62H99;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Dauxois, J. & Pousse, A. & Romain, Y., 1982. "Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference," Journal of Multivariate Analysis, Elsevier, vol. 12(1), pages 136-154, March. [Downloadable!] (restricted)
  2. Croux, C. & Haesbroeck, G., 1999. "Principal Component Analysis Based on Robust Estimators of the Covariance or Correlation Matrix: Influence Functions and Efficiencies," Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie 9908, UNIVERSITE DE LIEGE, Faculte d'economie, de gestion et de sciences sociales, Groupe d'Etude des Mathematiques du Management et de l'Economie.
  3. Philippe Besse & J. Ramsay, 1986. "Principal components analysis of sampled functions," Psychometrika, Springer, vol. 51(2), pages 285-311, June. [Downloadable!] (restricted)
  4. Marden, John I., 1999. "Some robust estimates of principal components," Statistics & Probability Letters, Elsevier, vol. 43(4), pages 349-359, July. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Rob J. Hyndman & Md. Shahid Ullah, 2005. "Robust forecasting of mortality and fertility rates: a functional data approach," Monash Econometrics and Business Statistics Working Papers 2/05, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
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