Rainbow plots, Bagplots and Boxplots for Functional Data

Rob J Hyndman () and Han Lin Shang ()

No 9/08, Monash Econometrics and Business Statistics Working Papers from Monash University, Department of Econometrics and Business Statistics

Abstract: We propose new tools for visualizing large numbers of functional data in the form of smooth curves or surfaces. The proposed tools include functional versions of the bagplot and boxplot, and make use of the first two robust principal component scores, Tukey's data depth and highest density regions. By-products of our graphical displays are outlier detection methods for functional data. We compare these new outlier detection methods with exiting methods for detecting outliers in functional data and show that our methods are better able to identify the outliers.

Keywords: Highest density regions; Robust principal component analysis; Kernel density estimation; Outlier detection; Tukey's halfspace depth (search for similar items in EconPapers)
JEL-codes: C14 C80 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm
Date: 2008-11
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