Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry
ABSTRACT: The non-null distribution of the modified likelihood ratio test statistic Λ∗ for testing multisample compound symmetry of q multivariate Gaussian models is derived. The non-null moments of Λ∗ are obtained in terms of Lauricella's hypergeometric function. The non-null distribution is ex...
- Autores:
-
Castañeda López, María Eugenia
Nagar, Daya Krishna
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2004
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/30363
- Acceso en línea:
- https://hdl.handle.net/10495/30363
https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/512
- Palabra clave:
- Funciones de Verosimilitud
Likelihood functions
Multimedia
Simetría
Symmetry
Estadísticas
Statistics
Compuestos multimedia
http://aims.fao.org/aos/agrovoc/c_49978
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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| dc.title.spa.fl_str_mv |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| title |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| spellingShingle |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry Funciones de Verosimilitud Likelihood functions Multimedia Simetría Symmetry Estadísticas Statistics Compuestos multimedia http://aims.fao.org/aos/agrovoc/c_49978 |
| title_short |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| title_full |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| title_fullStr |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| title_full_unstemmed |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| title_sort |
Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry |
| dc.creator.fl_str_mv |
Castañeda López, María Eugenia Nagar, Daya Krishna |
| dc.contributor.author.none.fl_str_mv |
Castañeda López, María Eugenia Nagar, Daya Krishna |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Multivariado |
| dc.subject.decs.none.fl_str_mv |
Funciones de Verosimilitud Likelihood functions Multimedia |
| topic |
Funciones de Verosimilitud Likelihood functions Multimedia Simetría Symmetry Estadísticas Statistics Compuestos multimedia http://aims.fao.org/aos/agrovoc/c_49978 |
| dc.subject.lemb.none.fl_str_mv |
Simetría Symmetry |
| dc.subject.agrovoc.none.fl_str_mv |
Estadísticas Statistics |
| dc.subject.proposal.spa.fl_str_mv |
Compuestos multimedia |
| dc.subject.agrovocuri.none.fl_str_mv |
http://aims.fao.org/aos/agrovoc/c_49978 |
| description |
ABSTRACT: The non-null distribution of the modified likelihood ratio test statistic Λ∗ for testing multisample compound symmetry of q multivariate Gaussian models is derived. The non-null moments of Λ∗ are obtained in terms of Lauricella's hypergeometric function. The non-null distribution is expressed in terms of H-function. |
| publishDate |
2004 |
| dc.date.issued.none.fl_str_mv |
2004 |
| dc.date.accessioned.none.fl_str_mv |
2022-09-02T14:30:34Z |
| dc.date.available.none.fl_str_mv |
2022-09-02T14:30:34Z |
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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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https://purl.org/redcol/resource_type/ART |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Castañeda, M. E., & Nagar, D. K. (2004). Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry. Revista integración, Temas De matemáticas, 22(1 y 2), 59–66. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/512 |
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0120-419X |
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https://hdl.handle.net/10495/30363 |
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2145-8472 |
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https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/512 |
| identifier_str_mv |
Castañeda, M. E., & Nagar, D. K. (2004). Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry. Revista integración, Temas De matemáticas, 22(1 y 2), 59–66. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/512 0120-419X 2145-8472 |
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https://hdl.handle.net/10495/30363 https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/512 |
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eng |
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eng |
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Rev. Integr. Temas Mat. |
| dc.relation.citationendpage.spa.fl_str_mv |
66 |
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1-2 |
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59 |
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22 |
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Revista Integración, Temas de Matemáticas |
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Universidad Industrial de Santander, Escuela de Matemáticas |
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Bucaramanga, Colombia |
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Universidad de Antioquia |
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Castañeda López, María EugeniaNagar, Daya KrishnaAnálisis Multivariado2022-09-02T14:30:34Z2022-09-02T14:30:34Z2004Castañeda, M. E., & Nagar, D. K. (2004). Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry. Revista integración, Temas De matemáticas, 22(1 y 2), 59–66. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/5120120-419Xhttps://hdl.handle.net/10495/303632145-8472https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/512ABSTRACT: The non-null distribution of the modified likelihood ratio test statistic Λ∗ for testing multisample compound symmetry of q multivariate Gaussian models is derived. The non-null moments of Λ∗ are obtained in terms of Lauricella's hypergeometric function. The non-null distribution is expressed in terms of H-function.COL00005328application/pdfengUniversidad Industrial de Santander, Escuela de MatemáticasBucaramanga, Colombiahttp://creativecommons.org/licenses/by/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound SymmetryArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionFunciones de VerosimilitudLikelihood functionsMultimediaSimetríaSymmetryEstadísticasStatisticsCompuestos multimediahttp://aims.fao.org/aos/agrovoc/c_49978Rev. Integr. Temas Mat.661-25922Revista Integración, Temas de MatemáticasPublicationLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/cb5b9025-5d7e-48e0-b246-76cab556ad7f/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927https://bibliotecadigital.udea.edu.co/bitstreams/b064c140-c146-40f4-b05c-83dc4dc92d89/download1646d1f6b96dbbbc38035efc9239ac9cMD52falseAnonymousREADORIGINALCastañedaMaria_2004_Non-nullDistributionLikelihoodRatio.pdfCastañedaMaria_2004_Non-nullDistributionLikelihoodRatio.pdfArtículo de investigaciónapplication/pdf168849https://bibliotecadigital.udea.edu.co/bitstreams/98dcc2b5-4bc4-4c9f-965b-45567db5d999/download0584b9788ff015b53252fe5eae3711d9MD51trueAnonymousREADTEXTCastañedaMaria_2004_Non-nullDistributionLikelihoodRatio.pdf.txtCastañedaMaria_2004_Non-nullDistributionLikelihoodRatio.pdf.txtExtracted texttext/plain14091https://bibliotecadigital.udea.edu.co/bitstreams/8fcdf455-6473-4aba-8081-a3f2c4535c48/downloada6467358fd1ba1015b47fb8ad361bda4MD54falseAnonymousREADTHUMBNAILCastañedaMaria_2004_Non-nullDistributionLikelihoodRatio.pdf.jpgCastañedaMaria_2004_Non-nullDistributionLikelihoodRatio.pdf.jpgGenerated Thumbnailimage/jpeg9419https://bibliotecadigital.udea.edu.co/bitstreams/8bafaba5-a4a8-4b6b-bd96-45bc26c29fde/downloadf88aed95ab7dea84d336112e041f0dfaMD55falseAnonymousREAD10495/30363oai:bibliotecadigital.udea.edu.co:10495/303632025-03-26 19:32:37.355http://creativecommons.org/licenses/by/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |