Warped Functional Regression

Details Warped Functional Regression Warped Functional Regression

2012-03-09

arxiv.org/abs/1203.1975v1

Statistics

Methodology

Scientific paper

A characteristic feature of functional data is the presence of time variability in addition to amplitude variability. The existing functional regression methods do not handle time variability in an explicit and efficient way. In this paper we introduce a functional regression method that incorporates time warping as an intrinsic part of the model. The method achieves good predictive power in a parsimonious way, and allows for unified statistical inference of time and amplitude variability. The properties of the estimators are studied by simulation, and an application to the modeling of ground-level ozone trajectories is presented.

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