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A FAMILY OF TRUNCATED POSITIVE DISTRIBUTIONS

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dc.creatorDIEGO IGNACIO GALLARDO MATELUNA
dc.date2023
dc.date.accessioned2025-01-10T15:41:46Z
dc.date.available2025-01-10T15:41:46Z
dc.date.issued2023
dc.description.abstractIN THIS PAPER, A NEW FAMILY OF CONTINUOUS DISTRIBUTIONS WITH POSITIVE SUPPORT IS INTRODUCED. THIS FAMILY IS GENERATED BY A TRUNCATION OF THE FAMILY OF UNIVARIATE SYMMETRICAL DISTRIBUTIONS. IN THIS NEW FAMILY OF DISTRIBUTIONS, GENERAL PROPERTIES, SUCH AS MOMENTS, ASYMMETRY AND KURTOSIS COEFFICIENTS, ARE DERIVED. PARTICULAR CASES OF INTEREST BASED ON THE NORMAL, LOGISTIC, LAPLACE AND CAUCHY MODELS ARE DISCUSSED IN DEPTH. THE ESTIMATION OF PARAMETERS IS CARRIED OUT BY APPLYING MOMENTS AND MAXIMUM LIKELIHOOD METHODS. ALSO, A SIMULATION STUDY WAS CONDUCTED TO ILLUSTRATE THE GOOD PERFORMANCE OF ESTIMATORS. AN APPLICATION TO THE SURVIVAL TIMES (IN DAYS) OF GUINEA PIGS DATASET IS INCLUDED, WHERE THE SPECIAL CASES OF DISTRIBUTIONS IN THIS FAMILY ARE FITTED. THE OPTION WHICH PROVIDES THE BEST FIT IS ULTIMATELY CHOSEN. AN R PACKAGE, CALLED ?TPN?, HAS BEEN IMPLEMENTED, WHICH INCLUDES THE RELEVANT CASES OF INTEREST IN THIS FAMILY.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math11214431
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13229
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math11214431
dc.rightsPUBLICADA
dc.subjecttpn package
dc.subjectsymmetric distributions
dc.subjectpositive truncation
dc.subjectlikelihood
dc.titleA FAMILY OF TRUNCATED POSITIVE DISTRIBUTIONS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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