A New Family of Distributions Based on Proportional Hazards

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datacite.creatorMartínez-Flórez, Guillermo
datacite.creatorBarrera-Causil, Carlos
datacite.creatorVenegas, Osvaldo
datacite.creatorBolfarine, Heleno
datacite.creatorGómez, Héctor
datacite.date2022-01-26
datacite.rightsAcceso Abierto
datacite.subject.englishbimodal distribution
datacite.subject.englishpower normal model
datacite.subject.englishskew-normal distribution
datacite.subject.englishskewness
datacite.subject.englishkurtosis
datacite.titleA New Family of Distributions Based on Proportional Hazards
dc.date.accessioned2024-11-21T12:42:52Z
dc.date.available2024-11-21T12:42:52Z
dc.descriptionLa investigación de Héctor W. Gómez fue financiada por el programa SEMILLERO UA-2022 (Chile). La investigación de O. Venegas fue apoyada por la Vicerrectoría de Investigación y Postgrado de la Universidad Católica de Temuco, a través del proyecto interno FEQUIP 2019-INRN-03.
dc.description.abstractenIn this article, we introduce a new family of symmetric-asymmetric distributions based on skew distributions and on the family of order statistics with proportional hazards. This new family of distributions is able to fit both unimodal and bimodal asymmetric data. Furthermore, it contains, as special cases, the symmetric distribution and the “skew-symmetric” family, and therefore the skew-normal distribution. Another interesting feature of the family is that the parameter controlling the distributional shape in bimodal cases takes values in the interval (0, 1); this is an advantage for computing maximum likelihood estimates of model parameters, which is performed by numerical methods. The practical utility of the proposed distribution is illustrated in two real data applications.
dc.identifier.doi10.3390/math10030378
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/6038
dc.language.isoen
dc.rightsEste artículo es de acceso abierto y se distribuye bajo los términos y condiciones de la licencia Creative Commons Attribution (CC BY) (https://creativecommons.org/licenses/by/4.0/).
dc.sourceMathematics
oaire.citationIssue378
oaire.citationTitleArtículo
oaire.citationVolume10
oaire.resourceTypeArtículo
uct.catalogadormlj
uct.departamentoDepartamento Ciencias Matematicas y Fisicas
uct.facultadFacultad de Ingeniería
uct.indizacionSCOPUS
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