A Bimodal Extension of the Beta-Binomial Distributionwith Applications

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dc.contributor.authorJimmy Reyes
dc.contributor.authorJosu Najera Zuloaga
dc.contributor.authorDae-Jin Lee
dc.contributor.authorJaime Arrué
dc.contributor.authorYuri A. Iriarte
dc.date.accessioned2026-04-02T19:11:18Z
dc.date.available2026-04-02T19:11:18Z
dc.date.issued2024
dc.description.abstractIn this paper, we propose an alternative distribution to model count data exhibitinguni/bimodality. It arises as a weighted version of the beta-binomial distribution, which is defined bya parametric weight function that admits up to two modes for the resulting probability mass function.Like the baseline beta-binomial distribution, the proposed distribution performs well in modelingoverdispersed binomial data. Structural properties of the new distribution are studied. Raw momentsare derived, which are used to describe the dispersion behavior relative to the mean and the skewnessbehavior. Parameter estimation is carried out using the maximum likelihood method. A simulationstudy is conducted in order to illustrate the behavior of the estimators. Finally, two applicationsillustrating the usefulness of the proposal are presented.
dc.description.sponsorshipNo existe
dc.identifier.doi10.3390/axioms13100662
dc.identifier.issn2075-1680
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/679
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceAXIOMS
dc.titleA Bimodal Extension of the Beta-Binomial Distributionwith Applications
dc.typeArticle
oaire.citation.volume13
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
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