The Semi-Hierarchical Dirichlet Process and Its Application to Clustering Homogeneous Distributions

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dc.contributor.authorBeraha, Mario
dc.contributor.authorGuglielmi, Alessandra
dc.contributor.authorQuintana, Fernando A.
dc.date.accessioned2024-01-10T12:37:01Z
dc.date.available2024-01-10T12:37:01Z
dc.date.issued2021
dc.description.abstractAssessing homogeneity of distributions is an old problem that has received considerable attention, especially in the nonparametric Bayesian literature. To this effect, we propose the semi-hierarchical Dirichlet process, a novel hierarchical prior that extends the hierarchical Dirichlet process of Teh et al. (2006) and that avoids the degeneracy issues of nested processes recently described by Camerlenghi et al. (2019a). We go beyond the simple yes/no answer to the homogeneity question and embed the proposed prior in a random partition model; this procedure allows us to give a more comprehensive response to the above question and in fact find groups of populations that are internally homogeneous when I >= 2 such populations are considered. We study theoretical properties of the semi hierarchical Dirichlet process and of the Bayes factor for the homogeneity test when I = 2. Extensive simulation studies and applications to educational data are also discussed.
dc.description.funderFondecyt Grant
dc.description.funderANID - Millennium Science Initiative Program
dc.fechaingreso.objetodigital2024-05-15
dc.format.extent33 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1214/21-BA1278
dc.identifier.eissn1936-0975
dc.identifier.issn1931-6690
dc.identifier.urihttps://doi.org/10.1214/21-BA1278
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76724
dc.identifier.wosidWOS:000754390900006
dc.information.autorucFacultad de Matemáticas; Quintana Quintana, Fernando Andres; S/I; 100343
dc.issue.numero4
dc.language.isoen
dc.nota.accesocontenido completo
dc.pagina.final1219
dc.pagina.inicio1187
dc.publisherINT SOC BAYESIAN ANALYSIS
dc.revistaBAYESIAN ANALYSIS
dc.rightsacceso abierto
dc.subjectBayes factors
dc.subjectBayesian nonparametrics
dc.subjectpartial exchangeability
dc.subjectposterior consistency
dc.subjecthomogeneity test
dc.subjectBAYESIAN MODEL
dc.subjectINFERENCE
dc.subjectSELECTION
dc.subjectPRIORS
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleThe Semi-Hierarchical Dirichlet Process and Its Application to Clustering Homogeneous Distributions
dc.typeartículo
dc.volumen16
sipa.codpersvinculados100343
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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