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Partial size-and-shape distributions

Author

Listed:
  • Alshabani, A.K.S.
  • Dryden, I.L.
  • Litton, C.D.

Abstract

The concepts of partial size-and-shape and partial shape are defined, with motivation from a study in human movement analysis. Some co-ordinates for partial shape for landmarks in three dimensions are given, and Gaussian models for the landmark co-ordinates are proposed. The main results involve the derivation of the partial size-and-shape distributions for the isotropic and general multivariate normal models for three-dimensional data. The partial shape distribution is given in the isotropic case. Maximum likelihood based inference is explored, and examples using simulated and real human movement data illustrate the methodology.

Suggested Citation

  • Alshabani, A.K.S. & Dryden, I.L. & Litton, C.D., 2007. "Partial size-and-shape distributions," Journal of Multivariate Analysis, Elsevier, vol. 98(10), pages 1988-2001, November.
    • Handle: RePEc:eee:jmvana:v:98:y:2007:i:10:p:1988-2001
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    References listed on IDEAS

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    1. Micheas, Athanasios C. & Dey, Dipak K., 2005. "Modeling shape distributions and inferences for assessing differences in shapes," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 257-280, February.
    2. K. V. Mardia & I. L. Dryden, 1999. "The complex Watson distribution and shape analysis," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(4), pages 913-926.
    3. John T. Kent & Kanti V. Mardia, 1997. "Consistency of Procrustes Estimators," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(1), pages 281-290.
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    Cited by:

    1. Houcine Boubaker & Nasser Rezzoug & Monji Kherallah & Philippe Gorce & Adel M. Alimi, 2015. "Spatiotemporal representation of 3D hand trajectory based on beta-elliptic models," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(15), pages 1632-1647, November.

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