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Three state markov model: Comparing three parameterizations of the transition intensity rate. Application to rheumatoid arthritis data

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dc.creatorSalazar J.C.spa
dc.creatorPalomino R.I.spa
dc.creatorCalvo E.spa
dc.creatorRojas A.spa
dc.creatorHincapié M.E.spa
dc.creatorAnaya, Juan-Manuelspa
dc.creatorDíaz F.J.spa
dc.date.accessioned2020-05-25T23:59:14Z
dc.date.available2020-05-25T23:59:14Z
dc.date.created2007spa
dc.description.abstractWe consider a three state model with an absorbing state assuming an underlying Markov process to explain the dependence among observations within subjects. We compare, using a simulation study, three different parameterizations of the transition intensity rate: the first one is based on the Andersen-Gill's multiplicative hazard model (Andersen et al. 1993), the second one is based on the logistic model, and the third one depends on the complementary log-log model. The method to estimate the effect of the parameters is based on the likelihood function which can be optimized using the exact solutions of a Kolmogorov forward differential equations system in conjunction with the Newton-Raphson algorithm (Abramowitz and Stegun 1972). We use the relative bias to select the best estimation estrategy. The methodology is ilustrated using longitudinal data about rheumatoid arthritis (RA) from the Corporación para Investigaciones Biológicas, CIB.spa
dc.format.mimetypeapplication/pdf
dc.identifier.issn1201751
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/23009
dc.language.isospaspa
dc.relation.citationEndPage229
dc.relation.citationIssueNo. 2
dc.relation.citationStartPage213
dc.relation.citationTitleRevista Colombiana de Estadistica
dc.relation.citationVolumeVol. 30
dc.relation.ispartofRevista Colombiana de Estadistica, ISSN:1201751, Vol.30, No.2 (2007); pp. 213-229spa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77953981107&partnerID=40&md5=2546fb2f732b0b0ea370f6244136a38espa
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)spa
dc.source.instnameinstname:Universidad del Rosariospa
dc.source.reponamereponame:Repositorio Institucional EdocURspa
dc.subject.keywordIntensity ratesspa
dc.subject.keywordLongitudinal dataspa
dc.subject.keywordRheumatoid arthritisspa
dc.subject.keywordStochastic processesspa
dc.titleThree state markov model: Comparing three parameterizations of the transition intensity rate. Application to rheumatoid arthritis dataspa
dc.title.TranslatedTitleModelo de markov de tres estados: Comparación de parametrizaciones de la tasa de intensidad de transición. Aplicación a datos de artritis reumatoideaspa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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