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A NEW GENERALIZATION OF THE TRUNCATED GUMBEL DISTRIBUTION WITH QUANTILE REGRESSION AND APPLICATIONS

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dc.creatorDIEGO IGNACIO GALLARDO MATELUNA
dc.date2024
dc.date.accessioned2025-01-10T15:52:42Z
dc.date.available2025-01-10T15:52:42Z
dc.date.issued2024
dc.description.abstractIN THIS ARTICLE, WE INTRODUCE A NEW MODEL WITH POSITIVE SUPPORT. THIS MODEL IS AN EXTENSION OF THE TRUNCATED GUMBEL DISTRIBUTION, WHERE A SHAPE PARAMETER IS INCORPORATED THAT PROVIDES GREATER FLEXIBILITY TO THE NEW MODEL. THE MODEL IS PARAMETERIZED IN TERMS OF THE P-TH QUANTILE OF THE DISTRIBUTION TO PERFORM QUANTILE REGRESSION IN THIS MODEL. AN EXTENSIVE SIMULATION STUDY DEMONSTRATES THE GOOD PERFORMANCE OF THE MAXIMUM LIKELIHOOD ESTIMATORS IN FINITE SAMPLES. FINALLY, TWO APPLICATIONS TO REAL DATASETS RELATED TO THE LEVEL OF BETA-CAROTENE AND BODY MASS INDEX ARE PRESENTED.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math12111762
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/14074
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math12111762
dc.rightsPUBLICADA
dc.subjecttruncated distribution
dc.subjectquantile regression
dc.subjectmaximum likelihood estimators
dc.subjectGumbel distribution
dc.titleA NEW GENERALIZATION OF THE TRUNCATED GUMBEL DISTRIBUTION WITH QUANTILE REGRESSION AND APPLICATIONS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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