dc.creator | Díaz-García, José A. | spa |
dc.creator | Caro-Lopera, Francisco J. | spa |
dc.date.accessioned | 2017-06-15T22:05:18Z | |
dc.date.available | 2017-06-15T22:05:18Z | |
dc.date.created | 2012 | |
dc.identifier.citation | Díaz-García, J. A., & Caro-Lopera, F. J. (2012). Generalised shape theory via SV decomposition I. Metrika, 75(4), 541-565. | spa |
dc.identifier.issn | 00261335 | |
dc.identifier.uri | http://hdl.handle.net/11407/3405 | |
dc.description | 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. | spa |
dc.language.iso | eng | |
dc.publisher | Physica-Verlag Gmbh und Co | spa |
dc.publisher | Springer Berlin Heidelberg | spa |
dc.relation.isversionof | https://link.springer.com/article/10.1007%2Fs00184-010-0341-5?LI=true | spa |
dc.source | Metrika: International Journal for Theoretical and Applied Statistics | spa |
dc.subject | Shape theory | spa |
dc.subject | Non-central and non-isotropic shape densities | spa |
dc.subject | Zonal polynomials | spa |
dc.title | Generalised shape theory via SV decomposition I | spa |
dc.type | Article | eng |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.publisher.program | Tronco común Ingenierías | spa |
dc.identifier.doi | DOI: 10.1007/s00184-010-0341-5 | |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.creator.affiliation | Díaz-García, José A.; Universidad Autónoma Agraria Antonio Narro | spa |
dc.creator.affiliation | Caro-Lopera, Francisco J.; Universidad de Medellín | spa |
dc.relation.ispartofes | Metrika, May 2012, Volume 75, Issue 4, pp 541–565 | spa |
dc.relation.references | Caro-Lopera FJ, Díaz-García JA, González-Farías G (2009) Noncentral elliptical configuration density. J Multivar Anal 101(1): 32–43 | spa |
dc.relation.references | Davis AW (1980) Invariant polynomials with two matrix arguments, extending the zonal polynomials. In: Krishnaiah PR (ed.) Multivariate analysis V. North-Holland Publishing Company, Amsterdam, pp 287–299 | spa |
dc.relation.references | Díaz-García JA, Gutiérrez- Jáimez R, Mardia KV (1997) Wishart and Pseudo-Wishart distributions and some applications to shape theory. J Multivar Anal 63: 73–87 | spa |
dc.relation.references | Díaz-García JA, Gutiérrez-Jáimez R, Ramos R (2003) Size-and-shape cone, shape disk and configuration densities for the elliptical models. Braz J Probab Stat 17: 135–146 | spa |
dc.relation.references | Dryden IL, Mardia KV (1998) Statistical shape analysis. Wiley, Chichester | spa |
dc.relation.references | Fang KT, Zhang YT (1990) Generalized multivariate analysis. Science Press, Springer, Beijing | spa |
dc.relation.references | Goodall CR (1991) Procustes methods in the statistical analysis of shape (with discussion). J R Stat Soc Ser B 53: 285–339 | spa |
dc.relation.references | Goodall CR, Mardia KV (1993) Multivariate aspects of shape theory. Ann Stat 21: 848–866 | spa |
dc.relation.references | Gupta AK, Varga T (1993) Elliptically contoured models in statistics. Kluwer, Dordrecht | spa |
dc.relation.references | James AT (1964) Distributions of matrix variate and latent roots derived from normal samples. Ann Math Stat 35: 475–501 | spa |
dc.relation.references | Kass RE, Raftery AE (1995) Bayes factor. J Am Stat Soc 90: 773–795 | spa |
dc.relation.references | Koev P, Edelman A (2006) The efficient evaluation of the hypergeometric function of a matrix argument. Math Comput 75: 833–846 | spa |
dc.relation.references | Le HL, Kendall DG (1993) The Riemannian structure of Euclidean spaces: a novel environment for statistics. Ann Stat 21: 1225–1271 | spa |
dc.relation.references | Mardia KV, Dryden IL (1989) The statistical analysis of shape data. Biometrika 76(2): 271–281 | spa |
dc.relation.references | Muirhead RJ (1982) Aspects of multivariate statistical theory. Wiley series in probability and mathematical statistics. Wiley, New York | spa |
dc.relation.references | Raftery AE (1995) Bayesian model selection in social research. Sociol Methodol 25: 111–163 | spa |
dc.relation.references | Rissanen J (1978) Modelling by shortest data description. Automatica 14: 465–471 | spa |
dc.relation.references | Yang ChCh, Yang ChCh (2007) Separating latent classes by information criteria. J Classif 24: 183–203 | spa |
dc.identifier.eissn | 1435926X | |
dc.type.driver | info:eu-repo/semantics/article | |