Publicación:
A HEAVY-TAILED DISTRIBUTION BASED ON THE LOMAX-RAYLEIGH DISTRIBUTION WITH APPLICATIONS TO MEDICAL DATA

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dc.creatorDIEGO IGNACIO GALLARDO MATELUNA
dc.date2023
dc.date.accessioned2025-01-10T15:45:18Z
dc.date.available2025-01-10T15:45:18Z
dc.date.issued2023
dc.description.abstractIN THIS PAPER, WE EXTEND THE LOMAX-RAYLEIGH DISTRIBUTION TO INCREASE ITS KURTOSIS. THE CONSTRUCTION OF THIS DISTRIBUTION IS BASED ON THE IDEA OF THE SLASH DISTRIBUTION, THAT IS, ITS REPRESENTATION IS BASED ON THE QUOTIENT OF TWO INDEPENDENT RANDOM VARIABLES, ONE BEING A RANDOM VARIABLE WITH A LOMAX-RAYLEIGH DISTRIBUTION AND THE OTHER A BETA(Q,1). BASED ON THE REPRESENTATION OF THIS FAMILY, WE STUDY ITS BASIC PROPERTIES, SUCH AS MOMENTS, COEFFICIENTS OF SKEWNESS, AND KURTOSIS. WE PERFORM STATISTICAL INFERENCE USING THE METHODS OF MOMENTS AND MAXIMUM LIKELIHOOD. TO ILLUSTRATE THIS METHODOLOGY, WE APPLY IT TO TWO REAL DATA SETS.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math11224626
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13505
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math11224626
dc.rightsPUBLICADA
dc.subjectSlash distribution
dc.subjectLomax?Rayleigh distribution
dc.subjectkurtosis
dc.titleA HEAVY-TAILED DISTRIBUTION BASED ON THE LOMAX-RAYLEIGH DISTRIBUTION WITH APPLICATIONS TO MEDICAL DATA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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