Generalised shape theory via SV decomposition I
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Physica-Verlag Gmbh und Co
Springer Berlin Heidelberg
Springer Berlin Heidelberg
Resumen
Descripción
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.
Palabras clave
Shape theory, Non-central and non-isotropic shape densities, Zonal polynomials
Citación
Díaz-García, J. A., & Caro-Lopera, F. J. (2012). Generalised shape theory via SV decomposition I. Metrika, 75(4), 541-565.