Electronic Journal of Statistics

Analysis of juggling data: Registering data to principal components to explain amplitude variation

Dominik Poss and Heiko Wagner

Full-text: Open access

Abstract

The paper considers an analysis of the juggling dataset based on registration. An elementary landmark registration is used to extract the juggling cycles from the data. The resulting cycles are then registered to functional principal components. After the registration step the paper then lays its focus on a functional principal component analysis to explain the amplitude variation of the cycles. More results about the behavior of the juggler’s movements of the hand during the juggling trials are obtained by a further investigation of the principal scores.

Article information

Source
Electron. J. Statist., Volume 8, Number 2 (2014), 1825-1834.

Dates
First available in Project Euclid: 29 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1414588169

Digital Object Identifier
doi:10.1214/14-EJS937B

Mathematical Reviews number (MathSciNet)
MR3273601

Zentralblatt MATH identifier
1305.62016

Keywords
Continuous registration functional principal components analysis landmark registration phase variation time warping warping function

Citation

Poss, Dominik; Wagner, Heiko. Analysis of juggling data: Registering data to principal components to explain amplitude variation. Electron. J. Statist. 8 (2014), no. 2, 1825--1834. doi:10.1214/14-EJS937B. https://projecteuclid.org/euclid.ejs/1414588169


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References

  • [1] Kneip, A. and Ramsay, J. O. (2008). Combining registration and fitting for functional models., J. Amer. Statist. Assoc. 103, 1155–1165.
  • [2] Ramsay, J. O., Gribble, P. and Kurtek, S. (2014). Description and processing of functional data arising from juggling trajectories., Electron. J. Statist. 8 1811–1816, Special Section on Statistics of Time Warpings and Phase Variations.
  • [3] Ramsay, J. O. and Silverman, B. W. (2005)., Functional Data Analysis. 2nd edition. Springer.

See also

  • Related item: Ramsay, J. O., Gribble, P., and Kurtek, S. (2014). Description and processing of functional data arising from juggling trajectories. Electron. J. Statist. 8 1811–1816.