Asymptotic expansion of the inverted matrix variate Dirichlet distribution
ABSTRACT: In this paper, the inverted matrix variate Dirichlet distribution for both the real and the complex cases are defined and some of their properties are studied. Also, the asymptotic expansions of the probability density functions of the inverted matrix variate Dirichlet distributions, for r...
- Autores:
-
Nagar, Daya Krishna
Gupta, Arjun Kumar
- 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:10495/44265
- Acceso en línea:
- https://hdl.handle.net/10495/44265
- Palabra clave:
- Expansiones asintóticas
Asymptotic expansions
Distribución (Teoría de probabilidades)
Distribution (probability theory)
Series de Dirichlet
Series, dirichlet
Transformaciones (matemáticas)
Transformations (mathematics)
Ecuaciones diferenciales - teoría asintótica
Differential equations - asymptotic theory
Funciones gamma
Functions, gamma
Matriz aleatoria
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-sa/4.0/
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| dc.title.spa.fl_str_mv |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| title |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| spellingShingle |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution Expansiones asintóticas Asymptotic expansions Distribución (Teoría de probabilidades) Distribution (probability theory) Series de Dirichlet Series, dirichlet Transformaciones (matemáticas) Transformations (mathematics) Ecuaciones diferenciales - teoría asintótica Differential equations - asymptotic theory Funciones gamma Functions, gamma Matriz aleatoria |
| title_short |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| title_full |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| title_fullStr |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| title_full_unstemmed |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| title_sort |
Asymptotic expansion of the inverted matrix variate Dirichlet distribution |
| dc.creator.fl_str_mv |
Nagar, Daya Krishna Gupta, Arjun Kumar |
| dc.contributor.author.none.fl_str_mv |
Nagar, Daya Krishna Gupta, Arjun Kumar |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Multivariado |
| dc.subject.lemb.none.fl_str_mv |
Expansiones asintóticas Asymptotic expansions Distribución (Teoría de probabilidades) Distribution (probability theory) Series de Dirichlet Series, dirichlet Transformaciones (matemáticas) Transformations (mathematics) Ecuaciones diferenciales - teoría asintótica Differential equations - asymptotic theory Funciones gamma Functions, gamma |
| topic |
Expansiones asintóticas Asymptotic expansions Distribución (Teoría de probabilidades) Distribution (probability theory) Series de Dirichlet Series, dirichlet Transformaciones (matemáticas) Transformations (mathematics) Ecuaciones diferenciales - teoría asintótica Differential equations - asymptotic theory Funciones gamma Functions, gamma Matriz aleatoria |
| dc.subject.proposal.spa.fl_str_mv |
Matriz aleatoria |
| description |
ABSTRACT: In this paper, the inverted matrix variate Dirichlet distribution for both the real and the complex cases are defined and some of their properties are studied. Also, the asymptotic expansions of the probability density functions of the inverted matrix variate Dirichlet distributions, for real and complex cases, are derived. |
| publishDate |
2004 |
| dc.date.issued.none.fl_str_mv |
2004 |
| dc.date.accessioned.none.fl_str_mv |
2025-01-20T21:10:30Z |
| dc.date.available.none.fl_str_mv |
2025-01-20T21:10:30Z |
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Artículo de investigación |
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0972-0863 |
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https://hdl.handle.net/10495/44265 |
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0972-0863 |
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https://hdl.handle.net/10495/44265 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Far East J. Theo. Stat. |
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25 |
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1 |
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13 |
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12 |
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Far East Journal of Theoretical Statistics |
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https://creativecommons.org/licenses/by-nc-sa/4.0/ |
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http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
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openAccess |
| dc.format.extent.spa.fl_str_mv |
13 páginas |
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Universidad de Allahabad |
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Allahabad, India |
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Universidad de Antioquia |
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Nagar, Daya KrishnaGupta, Arjun KumarAnálisis Multivariado2025-01-20T21:10:30Z2025-01-20T21:10:30Z20040972-0863https://hdl.handle.net/10495/44265ABSTRACT: In this paper, the inverted matrix variate Dirichlet distribution for both the real and the complex cases are defined and some of their properties are studied. Also, the asymptotic expansions of the probability density functions of the inverted matrix variate Dirichlet distributions, for real and complex cases, are derived.Universidad de Antioquia. Vicerrectoría de investigación. Comité para el Desarrollo de la Investigación - CODICOL000053213 páginasapplication/pdfengUniversidad de AllahabadAllahabad, Indiahttps://creativecommons.org/licenses/by-nc-sa/4.0/http://creativecommons.org/licenses/by-nc-sa/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Asymptotic expansion of the inverted matrix variate Dirichlet distributionArtículo 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/publishedVersionExpansiones asintóticasAsymptotic expansionsDistribución (Teoría de probabilidades)Distribution (probability theory)Series de DirichletSeries, dirichletTransformaciones (matemáticas)Transformations (mathematics)Ecuaciones diferenciales - teoría asintóticaDifferential equations - asymptotic theoryFunciones gammaFunctions, gammaMatriz aleatoriaFar East J. Theo. Stat.2511312Far East Journal of Theoretical StatisticsIN387CERoR:03bp5hc83PublicationORIGINALNagarDaya_2004_AsymptoticExpansionInverted.pdfNagarDaya_2004_AsymptoticExpansionInverted.pdfArtículo de investigaciónapplication/pdf158263https://bibliotecadigital.udea.edu.co/bitstreams/39f9a8ff-fe74-4490-a176-8b3bfbca602e/download82367c330bd87d90b21b0c8351faafd6MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstreams/bb34ed0a-17db-42d5-b390-af616174ff6c/downloade2060682c9c70d4d30c83c51448f4eedMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/6e7a7feb-a7e3-4d4d-82fc-04ee3e13ff42/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTNagarDaya_2004_AsymptoticExpansionInverted.pdf.txtNagarDaya_2004_AsymptoticExpansionInverted.pdf.txtExtracted texttext/plain20310https://bibliotecadigital.udea.edu.co/bitstreams/c196e3ae-8a72-4c86-a220-e01d11ec7fdb/download37f9dfef9d28c5f1e746b00181b5c185MD54falseAnonymousREADTHUMBNAILNagarDaya_2004_AsymptoticExpansionInverted.pdf.jpgNagarDaya_2004_AsymptoticExpansionInverted.pdf.jpgGenerated Thumbnailimage/jpeg8754https://bibliotecadigital.udea.edu.co/bitstreams/94dc931c-195a-4c90-b5e4-09e32e2ea673/download5bf48936651217963c0d3868075c5cd0MD55falseAnonymousREAD10495/44265oai:bibliotecadigital.udea.edu.co:10495/442652025-03-26 22:11:27.061https://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |
