Generalised shape theory via SV decomposition I

José A. Díaz-García, Francisco J. Caro-Lopera

Resultado de la investigación: Contribución a una revistaArtículoInvestigaciónrevisión exhaustiva

4 Citas (Scopus)

Resumen

This work finds in terms of zonal polynomials, the non isotropic noncentral elliptical shape distributions via singular value decomposition; it avoids the invariant polynomials and the open problems for their computation. The new shape distributions are easily computable and then the inference procedure is based on exact densities, instead of the published approximations and asymptotic distribution of isotropic models. An application of the technique is illustrated with a classical landmark data of Biology, for this, three Kotz type models are proposed (including Gaussian); then the best one is chosen by using a modified BIC criterion. © 2010 Springer-Verlag.
Idioma originalInglés estadounidense
Páginas (desde-hasta)541-565
Número de páginas25
PublicaciónMetrika
DOI
EstadoPublicada - 1 may 2012

Huella dactilar

Zonal Polynomials
Invariant Polynomials
Decompose
Landmarks
Singular value decomposition
Asymptotic distribution
Biology
Open Problems
Approximation
Model
Decomposition
Polynomials
Inference

Citar esto

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Generalised shape theory via SV decomposition I. / Díaz-García, José A.; Caro-Lopera, Francisco J.

En: Metrika, 01.05.2012, p. 541-565.

Resultado de la investigación: Contribución a una revistaArtículoInvestigaciónrevisión exhaustiva

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