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Dynamic Retrospective Regression for Functional Data

Summary: Samples of curves, or functional data, usually present phase variability in addition to amplitude variability. Existing functional regression methods do not handle phase variability in an efficient way. This article proposes a functional regression method that incorporates phase synchronization as an intrinsic part of the model, and then attains better predictive power than ordinary linear regression in a simple and parsimonious way. The finite-sample properties of the estimators are studied by simulation. As an example of application, the author analyzes neuromotor data arising from a study of human lip movement. This article has supplementary materials online.

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  • Topics: Statistics
  • Keywords: Regression analysis, Biomedical, Data analysis, Spline functions, Data smoothing, Multivariate time series
  • Author: Gervini, Daniel
  • Journal: Technometrics