PublicaciĂłn:
A MODIFIED CURE RATE MODEL BASED ON A PIECEWISE DISTRIBUTION WITH APPLICATION TO LOBULAR CARCINOMA DATA

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dc.creatorYOLANDA MAGALY GĂ“MEZ OLMOS
dc.creatorDIEGO IGNACIO GALLARDO MATELUNA
dc.date2024
dc.date.accessioned2025-01-10T15:52:07Z
dc.date.available2025-01-10T15:52:07Z
dc.date.issued2024
dc.description.abstractA NOVEL CURE RATE MODEL IS INTRODUCED BY CONSIDERING, FOR THE NUMBER OF CONCURRENT CAUSES, THE MODIFIED POWER SERIES DISTRIBUTION AND, FOR THE TIME TO EVENT, THE RECENTLY PROPOSED POWER PIECEWISE EXPONENTIAL DISTRIBUTION. THIS MODEL INCLUDES A WIDE VARIETY OF CURE RATE MODELS, SUCH AS BINOMIAL, POISSON, NEGATIVE BINOMIAL, HAIGHT, BOREL, LOGARITHMIC, AND RESTRICTED GENERALIZED POISSON. SOME CHARACTERISTICS OF THE MODEL ARE EXAMINED, AND THE ESTIMATION OF PARAMETERS IS PERFORMED USING THE EXPECTATION-MAXIMIZATION ALGORITHM. A SIMULATION STUDY IS PRESENTED TO EVALUATE THE PERFORMANCE OF THE ESTIMATORS IN FINITE SAMPLES. FINALLY, AN APPLICATION IN A REAL MEDICAL DATASET FROM A POPULATION-BASED STUDY OF INCIDENT CASES OF LOBULAR CARCINOMA DIAGNOSED IN THE STATE OF SAO PAULO, BRAZIL, ILLUSTRATES THE ADVANTAGES OF THE PROPOSED MODEL COMPARED TO OTHER COMMON CURE RATE MODELS IN THE LITERATURE, PARTICULARLY REGARDING THE UNDERESTIMATION OF THE CURE RATE IN OTHER PROPOSALS AND THE IMPROVED PRECISION IN ESTIMATING THE CURE RATE OF OUR PROPOSAL.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math12060883
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/14028
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math12060883
dc.rightsPUBLICADA
dc.subjectsurvival analysis
dc.subjectpower piecewise exponential distribution
dc.subjectExpectation-Maximization algorithm
dc.subjectcure rate model
dc.subjectcancer dataset
dc.titleA MODIFIED CURE RATE MODEL BASED ON A PIECEWISE DISTRIBUTION WITH APPLICATION TO LOBULAR CARCINOMA DATA
dc.typeARTĂŤCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIĂ“N
ubb.SedeCONCEPCIĂ“N
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