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How to Build Functional Data Objects

  • J.O Ramsay
  • Giles Hooker
  • Spencer Graves
Chapter
Part of the Use R book series (USE R)

Abstract

We saw in the last chapter that functions are built up from basis systems \(\phi_1 (t),..., \phi_K (t) \) by defining the linear combination
$$x(t) = \sum \limits_{k=1}^k ck \phi k (t) = {\bf c'} \phi (t).$$

That chapter described how to build a basis system. Now we take the next step, defining a functional data object by combining a set of coefficients c k (and other useful information) with a previously specified basis system. Once we have selected a basis, we have only to supply coefficients in order to define an object of the functional data class (with class name fd).

Keywords

Basis System Functional Data Generic Label Linear Differential Operator Cell Array 
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-Verlag New York 2009

Authors and Affiliations

  1. 1.OttawaCanada
  2. 2.Department of Biological Statistics & Computational BiologyCornell UniversityIthacaUSA
  3. 3.Productive Systems EngineeringSan JoseUSA

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