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Partial size-and-shape distributions

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

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 98 (2007)
    Issue (Month): 10 (November)
    Pages: 1988-2001

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    Handle: RePEc:eee:jmvana:v:98:y:2007:i:10:p:1988-2001

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    Related research

    Keywords: Gaussian Human movement Landmarks Shape Size;

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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.
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