A Bivariate Model based on Compound Negative Binomial Distribution

A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed. Expressions for the product moments, covariance and correlation coefficient are obtained. Some propertie...

Full description

Autores:
Omair, Maha Ahmad
AlMuhayfith, Fatimah E
Alzaid, Abdulhamid A
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66489
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66489
http://bdigital.unal.edu.co/67517/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
bivariate distribution
Compound distribution
Negative binomial
Divisibility
Geometric distribution
Moments
Correlation coefficient
Total positivity.National Plan for Science
Technology and Innovation (MAARIFAH)
King Abdulaziz City for Science and
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/66489
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Omair, Maha Ahmad2657de3d-7d5e-46fb-8f0d-9dd37071243c300AlMuhayfith, Fatimah E519dfb73-578d-4487-aff0-ad5c4c3dd841300Alzaid, Abdulhamid Aa762cbd0-26b7-4eaa-abd1-6e76e39fded23002019-07-03T02:13:39Z2019-07-03T02:13:39Z2018-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66489http://bdigital.unal.edu.co/67517/A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed. Expressions for the product moments, covariance and correlation coefficient are obtained. Some properties such as ordering, unimodality, monotonicity and self-decomposability are studied. Parameter estimators using the method of moments and maximum likelihood are derived. Applications to traffic accidents data are illustrated.Un nuevo modelo de dos variables se introduce mediante la composición distribuciones binomiales negativos y geométricos. propiedades distributivas, incluyendo distribuciones conjuntas, marginales y condicionales se discuten. se obtienen las expresiones para los momentos de productos, la covarianza y el coeficiente de correlación. Se estudian algunas propiedades tales como pedidos, unimodalidad, monotonía y la auto-decomposability. estimadores de parámetros utilizando el método de los momentos y de máxima verosimilitud se derivan. Aplicaciones a los datos de accidentes de tráfico se ilustranapplication/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/57803Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaOmair, Maha Ahmad and AlMuhayfith, Fatimah E and Alzaid, Abdulhamid A (2018) A Bivariate Model based on Compound Negative Binomial Distribution. Revista Colombiana de Estadística, 41 (1). pp. 87-108. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / Statisticscoeficiente de correlacióndistribución binomial negativadistribución bivariadadistribución compuestodistribución geométricadivisibilidadmomentospositividad totalbivariate distributionCompound distributionNegative binomialDivisibilityGeometric distributionMomentsCorrelation coefficientTotal positivity.National Plan for ScienceTechnology and Innovation (MAARIFAH)King Abdulaziz City for Science andA Bivariate Model based on Compound Negative Binomial DistributionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL57803-373860-1-PB.pdfapplication/pdf945308https://repositorio.unal.edu.co/bitstream/unal/66489/1/57803-373860-1-PB.pdf3cebd4a38e704334a9c7e6a75aaec512MD51THUMBNAIL57803-373860-1-PB.pdf.jpg57803-373860-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6209https://repositorio.unal.edu.co/bitstream/unal/66489/2/57803-373860-1-PB.pdf.jpg609b7483f405a2e57b68ed5a7dbd0465MD52unal/66489oai:repositorio.unal.edu.co:unal/664892023-05-25 23:02:56.211Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A Bivariate Model based on Compound Negative Binomial Distribution
title A Bivariate Model based on Compound Negative Binomial Distribution
spellingShingle A Bivariate Model based on Compound Negative Binomial Distribution
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
bivariate distribution
Compound distribution
Negative binomial
Divisibility
Geometric distribution
Moments
Correlation coefficient
Total positivity.National Plan for Science
Technology and Innovation (MAARIFAH)
King Abdulaziz City for Science and
title_short A Bivariate Model based on Compound Negative Binomial Distribution
title_full A Bivariate Model based on Compound Negative Binomial Distribution
title_fullStr A Bivariate Model based on Compound Negative Binomial Distribution
title_full_unstemmed A Bivariate Model based on Compound Negative Binomial Distribution
title_sort A Bivariate Model based on Compound Negative Binomial Distribution
dc.creator.fl_str_mv Omair, Maha Ahmad
AlMuhayfith, Fatimah E
Alzaid, Abdulhamid A
dc.contributor.author.spa.fl_str_mv Omair, Maha Ahmad
AlMuhayfith, Fatimah E
Alzaid, Abdulhamid A
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
bivariate distribution
Compound distribution
Negative binomial
Divisibility
Geometric distribution
Moments
Correlation coefficient
Total positivity.National Plan for Science
Technology and Innovation (MAARIFAH)
King Abdulaziz City for Science and
dc.subject.proposal.spa.fl_str_mv coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
bivariate distribution
Compound distribution
Negative binomial
Divisibility
Geometric distribution
Moments
Correlation coefficient
Total positivity.National Plan for Science
Technology and Innovation (MAARIFAH)
King Abdulaziz City for Science and
description A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed. Expressions for the product moments, covariance and correlation coefficient are obtained. Some properties such as ordering, unimodality, monotonicity and self-decomposability are studied. Parameter estimators using the method of moments and maximum likelihood are derived. Applications to traffic accidents data are illustrated.
publishDate 2018
dc.date.issued.spa.fl_str_mv 2018-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:13:39Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:13:39Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66489
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67517/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66489
http://bdigital.unal.edu.co/67517/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/estad/article/view/57803
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Omair, Maha Ahmad and AlMuhayfith, Fatimah E and Alzaid, Abdulhamid A (2018) A Bivariate Model based on Compound Negative Binomial Distribution. Revista Colombiana de Estadística, 41 (1). pp. 87-108. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66489/1/57803-373860-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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