Curve registration by local regression

A. Kneip, Xiaochun Li, K. B. MacGibbon, J. O. Ramsay

Research output: Contribution to journalArticle

46 Scopus citations

Abstract

Functional data analysis involves the extension of familiar statistical procedures such as principal-components analysis, linear modelling and canonical correlation analysis to data where the raw observation is a function xi(t). An essential preliminary to a functional data analysis is often the registration or alignment of salient curve features by suitable monotone transformations hi(t). In effect, this conceptualizes variation among functions as being composed of two aspects: phase and amplitude. Registration aims to remove phase variation as a preliminary to statistical analyses of amplitude variation. A local nonlinear regression technique is described for identifying the smooth monotone transformations hi, and is illustrated by analyses of simulated and actual data.

Original languageEnglish (US)
Pages (from-to)19-29
Number of pages11
JournalCanadian Journal of Statistics
Volume28
Issue number1
DOIs
StatePublished - Mar 2000
Externally publishedYes

Keywords

  • Dynamic time warping
  • Monotone functions
  • Time warping

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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