A Bivariate Model based on Compound Negative Binomial Distribution

A Bivariate Model based on Compound Negative Binomial Distribution

Abstract 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...

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Bibliographic Details
Main Authors: Maha Omair, Fatimah Almuhayfith, Abdulhamid Alzaid
Format: Article
Language:English
Published: Universidad Nacional de Colombia
Series:Revista Colombiana de Estadística
Subjects:
coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
Online Access:http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512018000100087&lng=en&tlng=en
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spelling doaj-22f7ca9b303f4ef2b8ac0403e55b117f2020-11-25T01:44:57ZengUniversidad Nacional de Colombia Revista Colombiana de Estadística0120-17514118710810.15446/rce.v41n1.57803S0120-17512018000100087A Bivariate Model based on Compound Negative Binomial DistributionMaha OmairFatimah AlmuhayfithAbdulhamid AlzaidAbstract 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.http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512018000100087&lng=en&tlng=encoeficiente de correlacióndistribución binomial negativadistribución bivariadadistribución compuestodistribución geométricadivisibilidadmomentospositividad total
collection DOAJ
language English
format Article
sources DOAJ
author Maha Omair
Fatimah Almuhayfith
Abdulhamid Alzaid
spellingShingle Maha Omair
Fatimah Almuhayfith
Abdulhamid Alzaid
A Bivariate Model based on Compound Negative Binomial Distribution
Revista Colombiana de Estadística
coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
author_facet Maha Omair
Fatimah Almuhayfith
Abdulhamid Alzaid
author_sort Maha Omair
title A Bivariate Model based on Compound Negative Binomial Distribution
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 bivariate model based on compound negative binomial distribution
publisher Universidad Nacional de Colombia
series Revista Colombiana de Estadística
issn 0120-1751
description Abstract 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.
topic coeficiente de correlación
distribución binomial negativa
distribución bivariada
distribución compuesto
distribución geométrica
divisibilidad
momentos
positividad total
url http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512018000100087&lng=en&tlng=en
work_keys_str_mv AT mahaomair abivariatemodelbasedoncompoundnegativebinomialdistribution
AT fatimahalmuhayfith abivariatemodelbasedoncompoundnegativebinomialdistribution
AT abdulhamidalzaid abivariatemodelbasedoncompoundnegativebinomialdistribution
AT mahaomair bivariatemodelbasedoncompoundnegativebinomialdistribution
AT fatimahalmuhayfith bivariatemodelbasedoncompoundnegativebinomialdistribution
AT abdulhamidalzaid bivariatemodelbasedoncompoundnegativebinomialdistribution
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