Distributions of the product and the quotient of independent Kummer-beta variables
ABSTRACT: The univariate Kummer-beta family of distributions has been proposed and studied recently by K. W. Ng and Samuel Kotz. This distribution is an univariate extension of the beta distribution. In this article, we derive the distributions of the product and the quotient of independent Kummer-b...
- Autores:
-
Nagar, Daya Krishna
Zarrazola Rivera, Edwin de Jesús
- 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:10495/30798
- Acceso en línea:
- https://hdl.handle.net/10495/30798
https://www.jams.jp/scm/contents/e-2004-1/2004-4.pdf
- Palabra clave:
- Beta distribution
Distribuciones univariadas
Kummer-beta
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-nd/4.0/
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Distributions of the product and the quotient of independent Kummer-beta variables |
| title |
Distributions of the product and the quotient of independent Kummer-beta variables |
| spellingShingle |
Distributions of the product and the quotient of independent Kummer-beta variables Beta distribution Distribuciones univariadas Kummer-beta |
| title_short |
Distributions of the product and the quotient of independent Kummer-beta variables |
| title_full |
Distributions of the product and the quotient of independent Kummer-beta variables |
| title_fullStr |
Distributions of the product and the quotient of independent Kummer-beta variables |
| title_full_unstemmed |
Distributions of the product and the quotient of independent Kummer-beta variables |
| title_sort |
Distributions of the product and the quotient of independent Kummer-beta variables |
| dc.creator.fl_str_mv |
Nagar, Daya Krishna Zarrazola Rivera, Edwin de Jesús |
| dc.contributor.author.none.fl_str_mv |
Nagar, Daya Krishna Zarrazola Rivera, Edwin de Jesús |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Multivariado |
| dc.subject.proposal.spa.fl_str_mv |
Beta distribution Distribuciones univariadas Kummer-beta |
| topic |
Beta distribution Distribuciones univariadas Kummer-beta |
| description |
ABSTRACT: The univariate Kummer-beta family of distributions has been proposed and studied recently by K. W. Ng and Samuel Kotz. This distribution is an univariate extension of the beta distribution. In this article, we derive the distributions of the product and the quotient of independent Kummer-beta variables |
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2004 |
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2022-09-23T20:50:02Z |
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1346-0862 |
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https://hdl.handle.net/10495/30798 |
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1346-0447 |
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https://www.jams.jp/scm/contents/e-2004-1/2004-4.pdf |
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1346-0862 1346-0447 |
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https://hdl.handle.net/10495/30798 https://www.jams.jp/scm/contents/e-2004-1/2004-4.pdf |
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eng |
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45 |
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61 |
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Scientiae Mathematicae Japonicae |
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International Society of Mathematical Sciences |
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Nagar, Daya KrishnaZarrazola Rivera, Edwin de JesúsAnálisis Multivariado2022-09-23T20:50:02Z2022-09-23T20:50:02Z20041346-0862https://hdl.handle.net/10495/307981346-0447https://www.jams.jp/scm/contents/e-2004-1/2004-4.pdfABSTRACT: The univariate Kummer-beta family of distributions has been proposed and studied recently by K. W. Ng and Samuel Kotz. This distribution is an univariate extension of the beta distribution. In this article, we derive the distributions of the product and the quotient of independent Kummer-beta variablesCOL00005329application/pdfengInternational Society of Mathematical SciencesJapónhttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Distributions of the product and the quotient of independent Kummer-beta variablesArtículo 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/publishedVersionBeta distributionDistribuciones univariadasKummer-beta5314561Scientiae Mathematicae JaponicaePublicationORIGINALNagarDaya_2004_DistributionsProductQuotient.pdfNagarDaya_2004_DistributionsProductQuotient.pdfArtículo de investigaciónapplication/pdf132140https://bibliotecadigital.udea.edu.co/bitstreams/70a067a0-6aa3-427d-9f4f-f896905a85df/downloada19a7973c2081ac0d50fa5c0a8775c66MD51trueAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/802ee6c9-32be-4a82-b9e5-cef371f470c1/download8a4605be74aa9ea9d79846c1fba20a33MD52falseAnonymousREADTEXTNagarDaya_2004_DistributionsProductQuotient.pdf.txtNagarDaya_2004_DistributionsProductQuotient.pdf.txtExtracted texttext/plain19687https://bibliotecadigital.udea.edu.co/bitstreams/147cfede-15be-4955-ab6a-bdd6ff504c79/download1d0b2dbce95b1605d5aa235604bea4ecMD53falseAnonymousREADTHUMBNAILNagarDaya_2004_DistributionsProductQuotient.pdf.jpgNagarDaya_2004_DistributionsProductQuotient.pdf.jpgGenerated Thumbnailimage/jpeg10406https://bibliotecadigital.udea.edu.co/bitstreams/2453020d-3a94-444d-9981-a807bcf0d92f/download9963a875cb1408cd4db986b784db7684MD54falseAnonymousREAD10495/30798oai:bibliotecadigital.udea.edu.co:10495/307982025-03-26 19:43:45.66https://creativecommons.org/licenses/by-nc-nd/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |