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Generalised shape theory via SV decomposition I

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Date
2012
Author
Díaz-García, José A.
Caro-Lopera, Francisco J.
Díaz-García, José A.; Universidad Autónoma Agraria Antonio Narro
Caro-Lopera, Francisco J.; Universidad de Medellín
TY - GEN T1 - Generalised shape theory via SV decomposition I AU - Díaz-García, José A. AU - Caro-Lopera, Francisco J. Y1 - 2012 UR - http://hdl.handle.net/11407/3405 PB - Physica-Verlag Gmbh und Co PB - Springer Berlin Heidelberg AB - 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. ER - @misc{11407_3405, author = {Díaz-García José A. and Caro-Lopera Francisco J.}, title = {Generalised shape theory via SV decomposition I}, year = {2012}, abstract = {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.}, url = {http://hdl.handle.net/11407/3405} }RT Generic T1 Generalised shape theory via SV decomposition I A1 Díaz-García, José A. A1 Caro-Lopera, Francisco J. YR 2012 LK http://hdl.handle.net/11407/3405 PB Physica-Verlag Gmbh und Co PB Springer Berlin Heidelberg AB 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. OL Spanish (121)
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Abstract
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.
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http://hdl.handle.net/11407/3405
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