Partial size-and-shape distributions

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...

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Bibliographic Details
Published in:Journal of multivariate analysis 2007-11, Vol.98 (10), p.1988-2001
Main Authors: Alshabani, A.K.S., Dryden, I.L., Litton, C.D.
Format: Article
Language:English
Subjects:
Distribution theory
Exact sciences and technology
Gaussian
Gaussian Human movement Landmarks Shape Size
Human movement
Landmarks
Mathematics
Maximum likelihood method
Movement
Multivariate analysis
Normal distribution
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Shape
Size
Statistics
Studies
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Summary: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.
ISSN:0047-259X
1095-7243
DOI:10.1016/j.jmva.2006.09.004