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 proce...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2012
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/1371
- Acceso en línea:
- http://hdl.handle.net/11407/1371
- Palabra clave:
- Non-central and non-isotropic shape densities
Shape theory
Zonal polynomials
- Rights
- restrictedAccess
- License
- http://purl.org/coar/access_right/c_16ec
| id |
REPOUDEM2_a3fdd096a8c8988670c21b091aeebe20 |
|---|---|
| oai_identifier_str |
oai:repository.udem.edu.co:11407/1371 |
| network_acronym_str |
REPOUDEM2 |
| network_name_str |
Repositorio UDEM |
| repository_id_str |
|
| spelling |
2015-10-09T13:17:53Z2015-10-09T13:17:53Z2012261335http://hdl.handle.net/11407/137110.1007/s00184-010-0341-5This 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.enghttp://link.springer.com/article/10.1007/s00184-010-0341-5#page-1Metrika, enero de 2012, volume 75, issue 4, pp 541-565ScopusArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/access_right/c_16ecDepartment of Statistics and Computation, Universidad Autónoma Agraria Antonio Narro, 25315 Buenavista, Saltillo, Coahuila, MexicoDepartment of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, 5-103 Medellín, ColombiaDiaz-Garcia J.A.Caro-Lopera F.J.Non-central and non-isotropic shape densitiesShape theoryZonal polynomialsGeneralised shape theory via SV decomposition I11407/1371oai:repository.udem.edu.co:11407/13712020-05-27 17:48:22.441Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |
| dc.title.english.eng.fl_str_mv |
Generalised shape theory via SV decomposition I |
| dc.contributor.affiliation.spa.fl_str_mv |
Department of Statistics and Computation, Universidad Autónoma Agraria Antonio Narro, 25315 Buenavista, Saltillo, Coahuila, Mexico Department of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, 5-103 Medellín, Colombia |
| dc.subject.keyword.eng.fl_str_mv |
Non-central and non-isotropic shape densities Shape theory Zonal polynomials |
| topic |
Non-central and non-isotropic shape densities Shape theory Zonal polynomials |
| spellingShingle |
Non-central and non-isotropic shape densities Shape theory Zonal polynomials |
| 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. |
| publishDate |
2012 |
| dc.date.created.none.fl_str_mv |
2012 |
| dc.date.accessioned.none.fl_str_mv |
2015-10-09T13:17:53Z |
| dc.date.available.none.fl_str_mv |
2015-10-09T13:17:53Z |
| dc.type.eng.fl_str_mv |
Article |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.identifier.issn.none.fl_str_mv |
261335 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/1371 |
| dc.identifier.doi.none.fl_str_mv |
10.1007/s00184-010-0341-5 |
| identifier_str_mv |
261335 10.1007/s00184-010-0341-5 |
| url |
http://hdl.handle.net/11407/1371 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.spa.fl_str_mv |
http://link.springer.com/article/10.1007/s00184-010-0341-5#page-1 |
| dc.relation.ispartofen.eng.fl_str_mv |
Metrika, enero de 2012, volume 75, issue 4, pp 541-565 |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_16ec |
| dc.rights.accessrights.none.fl_str_mv |
info:eu-repo/semantics/restrictedAccess |
| eu_rights_str_mv |
restrictedAccess |
| rights_invalid_str_mv |
http://purl.org/coar/access_right/c_16ec |
| dc.source.spa.fl_str_mv |
Scopus |
| institution |
Universidad de Medellín |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad de Medellin |
| repository.mail.fl_str_mv |
repositorio@udem.edu.co |
| _version_ |
1814159184065724416 |