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Principal components analysis for functional data

  • J. O. Ramsay
  • B. W. Silverman
Part of the Springer Series in Statistics book series (SSS)

Abstract

For many reasons, principal components analysis (PCA) of functional data is a key technique to consider. First, our own experience is that, after the preliminary steps of registering and displaying the data, the user wants to explore that data to see the features characterizing typical functions. Some of these features are expected to be there, for example the sinusoidal nature of temperature curves, but other aspects may be surprising. Some indication of the complexity of the data is also required, in the sense of how many types of curves and characteristics are to be found. Principal components analysis serves these ends admirably, and it is perhaps also for these reasons that it was the first method to be considered in the early literature on FDA.

Keywords

Principal Component Analysis Weight Function Functional Data Gait Cycle Quadrature Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • J. O. Ramsay
    • 1
  • B. W. Silverman
    • 2
  1. 1.Department of PsychologyMcGill UniversityMontrealCanada
  2. 2.Department of MathematicsUniversity of BristolBristolUK

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