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MODELING PM2.5 POLLUTION USING A TRUNCATED POSITIVE STUDENTS-T DISTRIBUTION: A CASE STUDY IN CHILE

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dc.creatorDIEGO IGNACIO GALLARDO MATELUNA
dc.date2025
dc.date.accessioned2026-01-16T13:48:05Z
dc.date.available2026-01-16T13:48:05Z
dc.date.issued2025
dc.description.abstractTHIS STUDY REVISITS A RECENTLY PROPOSED MEMBER OF THE TRUNCATED POSITIVE FAMILY OF DISTRIBUTIONS, REFERRED TO AS THE POSITIVELY TRUNCATED STUDENTS-T DISTRIBUTION. THE DISTRIBUTION RETAINS THE STRUCTURE OF THE CLASSICAL STUDENTS-T DISTRIBUTION WHILE EXPLICITLY INCORPORATING A KURTOSIS PARAMETER, YIELDING A FLEXIBLE THREE-PARAMETER FORMULATION THAT GOVERNS LOCATION, SCALE, AND TAIL BEHAVIOR. A CLOSED-FORM QUANTILE FUNCTION IS DERIVED, ALLOWING A NOVEL REPARAMETERIZATION BASED ON THE PTH QUANTILE AND THEREBY FACILITATING INTEGRATION INTO QUANTILE REGRESSION MODELS. THE ANALYTICAL TRACTABILITY OF THE QUANTILE FUNCTION ALSO ENABLES EFFICIENT RANDOM NUMBER GENERATION VIA THE INVERSE TRANSFORM METHOD, WHICH SUPPORTS A COMPREHENSIVE SIMULATION STUDY DEMONSTRATING THE STRONG PERFORMANCE OF THE PROPOSED ESTIMATORS, PARTICULARLY FOR THE DEGREES-OF-FREEDOM PARAMETER. THE ENTIRE METHODOLOGY IS IMPLEMENTED IN THE TPN PACKAGE FOR THE R SOFTWARE. FINALLY, TWO REAL-DATA APPLICATIONS INVOLVING PM2.5 MEASUREMENTS-ONE WITHOUT COVARIATES AND ANOTHER WITH COVARIATES-HIGHLIGHT THE MODEL?S ROBUSTNESS AND ITS ABILITY TO CAPTURE HEAVY-TAILED BEHAVIOR.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math13233838
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/14329
dc.language
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math13233838
dc.rightsOPEN ACCESS
dc.subjectTruncated distribution
dc.subjectStudents-t
dc.subjectQuantile regression
dc.subjectPM2.5
dc.titleMODELING PM2.5 POLLUTION USING A TRUNCATED POSITIVE STUDENTS-T DISTRIBUTION: A CASE STUDY IN CHILE
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.licenseConditionCC BY 4.0
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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