The lambert-F distributions class: An alternative family for positive data analysis

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dc.contributor.authorIriarte, Yuri A.
dc.contributor.authorDe Castro, Mário
dc.contributor.authorGómez, Héctor W.
dc.date.accessioned2024-04-22T23:08:59Z
dc.date.available2024-04-22T23:08:59Z
dc.date.issued2020
dc.description.abstractIn this article, we introduce a new probability distribution generator called the Lambert-F generator. For any continuous baseline distribution F, with positive support, the corresponding Lambert-F version is generated by using the new generator. The result is a new class of distributions with one extra parameter that generalizes the baseline distribution and whose quantile function can be expressed in closed form in terms of the Lambert W function. The hazard rate function of a Lambert-F distribution corresponds to a modification of the baseline hazard rate function, greatly increasing or decreasing the baseline hazard rate for earlier times. Herein, we study the main structural properties of the new class of distributions. Special attention is given to two particular cases that can be understood as two-parameter extensions of the well-known exponential and Rayleigh distributions. Wediscuss parameter estimation for the proposed models considering the moments and maximum likelihood methods. Finally, two applications were developed to illustrate the usefulness of the proposed distributions in the analysis of data from different real settings.
dc.description.sponsorshipCONICYT PAI/INDUSTRIA 79090016; MINEDUC-UA Project, code ANT1856, Universidad de Antofagasta; SEMILLERO UA-2020, Universidad de Antofagasta
dc.identifier.doi10.3390/MATH8091398
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/373
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjectdistribution generator
dc.subjectexponential distribution
dc.subjectlambert function
dc.subjectprobability distribution
dc.subjectRayleigh distribution
dc.titleThe lambert-F distributions class: An alternative family for positive data analysis
dc.typeArticle
oaire.citation.issue1398
oaire.citation.volume8
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Matemáticas
uantof.identificator.facultyFacultad de Ciencias Básicas
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