Representing functional data as smooth functions

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

Abstract

The basic philosophy of functional data analysis is that we should think of observed data functions as single entities, rather than merely a sequence of individual observations. The term functional refers to the intrinsic structure of the data rather than to their explicit form. But in practice, functional data are usually observed and recorded discretely. A record of a functional observation x consists of n pairs (t j ,y j ), where y j is a recording or observation of x(t j ), a snapshot of the function at argument value t j .

Keywords

Discrete Wavelet Transform Functional Data Observational Error Kernel Smoothing Polynomial Spline 
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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