Entropies and Fisher information matrix for extended beta distribution
ABSTRACT: The extended beta type 1 distribution has the probability density function proportional to x α−1 (1 − x) β−1 exp[−σ/x(1 − x)], 0 < x < 1. In this article, we derive the Fisher information matrix and entropies such as R´enyi and Shannon for the extended beta type 1 distribution....
- Autores:
-
Nagar, Daya Krishna
Zarrazola Rivera, Edwin de Jesús
Sánchez Herrera, Luz Estela
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/26794
- Acceso en línea:
- http://hdl.handle.net/10495/26794
- Palabra clave:
- Entropy
Entropía
Beta function
Extended beta function
Information matrix
Probability distribution
http://aims.fao.org/aos/agrovoc/c_1fc62594
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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| dc.title.spa.fl_str_mv |
Entropies and Fisher information matrix for extended beta distribution |
| title |
Entropies and Fisher information matrix for extended beta distribution |
| spellingShingle |
Entropies and Fisher information matrix for extended beta distribution Entropy Entropía Beta function Extended beta function Information matrix Probability distribution http://aims.fao.org/aos/agrovoc/c_1fc62594 |
| title_short |
Entropies and Fisher information matrix for extended beta distribution |
| title_full |
Entropies and Fisher information matrix for extended beta distribution |
| title_fullStr |
Entropies and Fisher information matrix for extended beta distribution |
| title_full_unstemmed |
Entropies and Fisher information matrix for extended beta distribution |
| title_sort |
Entropies and Fisher information matrix for extended beta distribution |
| dc.creator.fl_str_mv |
Nagar, Daya Krishna Zarrazola Rivera, Edwin de Jesús Sánchez Herrera, Luz Estela |
| dc.contributor.author.none.fl_str_mv |
Nagar, Daya Krishna Zarrazola Rivera, Edwin de Jesús Sánchez Herrera, Luz Estela |
| dc.subject.agrovoc.none.fl_str_mv |
Entropy Entropía |
| topic |
Entropy Entropía Beta function Extended beta function Information matrix Probability distribution http://aims.fao.org/aos/agrovoc/c_1fc62594 |
| dc.subject.proposal.spa.fl_str_mv |
Beta function Extended beta function Information matrix Probability distribution |
| dc.subject.agrovocuri.none.fl_str_mv |
http://aims.fao.org/aos/agrovoc/c_1fc62594 |
| description |
ABSTRACT: The extended beta type 1 distribution has the probability density function proportional to x α−1 (1 − x) β−1 exp[−σ/x(1 − x)], 0 < x < 1. In this article, we derive the Fisher information matrix and entropies such as R´enyi and Shannon for the extended beta type 1 distribution. |
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2015 |
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2015 |
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2022-03-22T21:41:44Z |
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2022-03-22T21:41:44Z |
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info:eu-repo/semantics/article |
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Nagar, D., Zarrazola, E., & Sánchez, L. (2015). Entropies and fisher information matrix for extended beta distribution. Applied Mathematical Sciences, 9(80), 3983-3994.. http://dx.doi.org/10.12988/ams.2015.53257 |
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1312-885X |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10495/26794 |
| dc.identifier.doi.none.fl_str_mv |
10.12988/ams.2015.53257 |
| dc.identifier.eissn.none.fl_str_mv |
1314-7552 |
| identifier_str_mv |
Nagar, D., Zarrazola, E., & Sánchez, L. (2015). Entropies and fisher information matrix for extended beta distribution. Applied Mathematical Sciences, 9(80), 3983-3994.. http://dx.doi.org/10.12988/ams.2015.53257 1312-885X 10.12988/ams.2015.53257 1314-7552 |
| url |
http://hdl.handle.net/10495/26794 |
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eng |
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eng |
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Appl. Math. Sci. |
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info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by/2.5/co/ |
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openAccess |
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Hikari |
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Análisis Multivariado |
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Bulgaria |
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Universidad de Antioquia |
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Nagar, Daya KrishnaZarrazola Rivera, Edwin de JesúsSánchez Herrera, Luz Estela2022-03-22T21:41:44Z2022-03-22T21:41:44Z2015Nagar, D., Zarrazola, E., & Sánchez, L. (2015). Entropies and fisher information matrix for extended beta distribution. Applied Mathematical Sciences, 9(80), 3983-3994.. http://dx.doi.org/10.12988/ams.2015.532571312-885Xhttp://hdl.handle.net/10495/2679410.12988/ams.2015.532571314-7552ABSTRACT: The extended beta type 1 distribution has the probability density function proportional to x α−1 (1 − x) β−1 exp[−σ/x(1 − x)], 0 < x < 1. In this article, we derive the Fisher information matrix and entropies such as R´enyi and Shannon for the extended beta type 1 distribution.COL000053212application/pdfengHikariAnálisis MultivariadoBulgariainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by/4.0/Entropies and Fisher information matrix for extended beta distributionEntropyEntropíaBeta functionExtended beta functionInformation matrixProbability distributionhttp://aims.fao.org/aos/agrovoc/c_1fc62594Appl. Math. Sci.Applied Mathematical Sciences39833994980CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927http://bibliotecadigital.udea.edu.co/bitstream/10495/26794/2/license_rdf1646d1f6b96dbbbc38035efc9239ac9cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/26794/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53ORIGINALNagarDaya_2015_EntropiesFisherDistribution.pdfNagarDaya_2015_EntropiesFisherDistribution.pdfArtículo de investigaciónapplication/pdf211238http://bibliotecadigital.udea.edu.co/bitstream/10495/26794/1/NagarDaya_2015_EntropiesFisherDistribution.pdfcaf2984c2db9362fb2fd48f6ab855e14MD5110495/26794oai:bibliotecadigital.udea.edu.co:10495/267942022-03-22 16:41:45.282Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.coTk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo= |