A Composite Half-Normal-Pareto Distribution with Applications to Income and Expenditure Data

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dc.contributor.authorOlmos, Neveka M.
dc.contributor.authorGómez-Déniz, Emilio
dc.contributor.authorVenegas, Osvaldo
dc.contributor.authorGómez, Héctor W.
dc.date.accessioned2026-04-02T14:44:34Z
dc.date.available2026-04-02T14:44:34Z
dc.date.issued2024
dc.description.abstractThe half-normal distribution is composited with the Pareto model to obtain a uni-parametric distribution with a heavy right tail, called the composite half-normal-Pareto distribution. This new distribution is useful for modeling positive data with atypical observations. We study the properties and the behavior of the right tail of this new distribution. We estimate the parameter using a method based on percentiles and the maximum likelihood method and assess the performance of the maximum likelihood estimator using Monte Carlo. We report three applications, one with simulated data and the others with income and expenditure data, in which the new distribution presents better performance than the Pareto distribution.
dc.description.sponsorshipSemillero UA-2024
dc.identifier.doi10.3390/math12111631
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/678
dc.language.isoen
dc.publisherMDPI AG
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjecthalf-normal distribution
dc.subjectheavy-tailed distribution
dc.subjectmaximum likelihood
dc.subjectVaR
dc.titleA Composite Half-Normal-Pareto Distribution with Applications to Income and Expenditure Data
dc.typeArticle
oaire.citation.issue11
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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