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On the effect of curve alignment and functional PCA

Research output: Contribution in Book/Report/ProceedingsPaper

Published
Publication date2008
Host publicationFunctional and operatorial statistics
EditorsSophie Dabo-Niang, Frédéric Ferraty
PublisherSpringer
Pages243-245
Number of pages3
ISBN (Electronic)9783790820621
ISBN (Print)9783790820614
<mark>Original language</mark>English

Abstract

When dealing with multiple curves as functional data, it is a common practice to apply functional PCA to summarise and characterise random variation infinite dimension. Often functional data however exhibits additional time variability that distorts the assumed common structure. This is recognized as the problem of curve registration. While the registration step is routinely employed, this is considered as a preprocessing step prior to any serious analysis. Consequently, the effect of alignment is mostly ignored in subsequent analyses and is not well understood. We revisit the issue by particularly focusing on the effect of time variability on the FPCA and illustrate the phenomena from a borrowed perturbation viewpoint. The analysis further suggests an iterative estimating procedure to optimise FPCA.

Bibliographic note

The original publication is available at www.link.springer.com