Scale Mixture of Exponential Distribution with an Application

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dc.contributor.authorBarahona, Jorge A.
dc.contributor.authorGómez, Yolanda M.
dc.contributor.authorGómez Déniz, Emilio
dc.contributor.authorVenegas, Osvaldo
dc.contributor.authorGómez, Héctor W.
dc.date.accessioned2026-03-23T13:23:00Z
dc.date.available2026-03-23T13:23:00Z
dc.date.issued2024
dc.description.abstractThis article presents an extended distribution that builds upon the exponential distribution.This extension is based on a scale mixture between the exponential and beta distributions. By utilizing this approach, we obtain a distribution that offers increased flexibility in terms of the kurtosis coefficient. We explore the general density, properties, moments, asymmetry, and kurtosis coefficients of this distribution. Statistical inference is performed using both the moments and maximum likelihood methods. To show the performance of this new model, it is applied to a real dataset with atypical observations. The results indicate that the new model outperforms two other extensions of the exponential distribution.
dc.description.sponsorshipSemillero UA-2023
dc.identifier.doi10.3390/math12010156
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/669
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjectexponential distribution
dc.subjectkurtosis
dc.subjectmaximum likelihood estimator
dc.subjectslash distribution
dc.subjectEM algorithm
dc.titleScale Mixture of Exponential Distribution with an Application
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume12
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
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