On dependent Dirichlet processes for general Polish spaces

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dc.contributor.authorIturriaga, Andres
dc.contributor.authorLong, Carlos A. Sing
dc.contributor.authorJara, Alejandro
dc.date.accessioned2025-01-20T16:15:49Z
dc.date.available2025-01-20T16:15:49Z
dc.date.issued2024
dc.description.abstractWe study Dirichlet process-based models for sets of predictor- dependent probability distributions, where the domain and predictor space are general Polish spaces. We generalize the definition of dependent Dirichlet processes, originally constructed on Euclidean spaces, to more general Polish spaces. We provide sufficient conditions under which dependent Dirichlet processes and dependent Dirichlet process mixture models have appealing properties regarding continuity (weak and strong), association structure, and support (under different topologies). The results can be easily extended to more general dependent stick -breaking processes.
dc.fuente.origenWOS
dc.identifier.doi10.1214/24-EJS2245
dc.identifier.issn1935-7524
dc.identifier.urihttps://doi.org/10.1214/24-EJS2245
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90515
dc.identifier.wosidWOS:001247620800002
dc.issue.numero1
dc.language.isoen
dc.pagina.final2134
dc.pagina.inicio2064
dc.revistaElectronic journal of statistics
dc.rightsacceso restringido
dc.subjectRelated random probability distributions
dc.subjectBayesian nonparametrics
dc.subjectsupport of random measures
dc.subjectnon-standard spaces
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleOn dependent Dirichlet processes for general Polish spaces
dc.typeartículo
dc.volumen18
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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