Exploratory graphics for functional data

Han Lin Shang, Rob J Hyndman
(2010) Interface 2010: Computing Science and Statistics, Seattle, Washington, June 16-19, 2010

Online  pdf

We survey some graphical tools for visualizing large sets of functional data represented by smooth curves. These graphical tools include the phase-plane plot, singular value decomposition plot, rainbow plot, functional variants of the bagplot and the highest density region boxplot. The latter two techniques utilize the first two robust principal component scores, Tukey’s halfspace location depth and highest density regions.

The computer code and datasets are collected in the rainbow package for R, which is available at the Comprehensive R Archive Network (CRAN).

Keywords: Highest density regions, Kernel density estimation, Robust principal component analysis, Singular value decomposition, Tukey’s halfspace location depth.