Statistical theory of shape under elliptical models and singular value decompositions

Authors:
José A. Díaz-García;Francisco J. Caro-Lopera
Affiliations:
Universidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, Mexico;Universidad de Medellín, Department of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia
Venue:
Journal of Multivariate Analysis
Year:
2012

Citing 5
Cited 1

Elliptically contoured models in statistics

Elliptically contoured models in statistics
Wishart and pseudo-Wishart distributions and some applications to shape theory

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Separating Latent Classes by Information Criteria

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Noncentral elliptical configuration density

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Paper: Modeling by shortest data description

Automatica (Journal of IFAC)

Sparse-smooth regularized singular value decomposition

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Abstract

The size-and-shape and shape distributions based on non-central and non-isotropic elliptical distributions are derived in this paper by using the singular value decomposition (SVD). The general densities require the computation of new integrals involving zonal polynomials. The invariance of the central shape distribution is also proved. Finally, some particular densities are applied in a classical data of Biology, and the inference based on exact distributions is performed after choosing the best model by using a modified BIC^* criterion.