A Bayesian Nonparametric Spiked Process Prior for Dynamic Model Selection

dc.citation.firstpage553en_US
dc.citation.issueNumber2en_US
dc.citation.journalTitleBayesian Analysisen_US
dc.citation.lastpage572en_US
dc.citation.volumeNumber14en_US
dc.contributor.authorCassese, Albertoen_US
dc.contributor.authorZhu, Weixuanen_US
dc.contributor.authorGuindani, Micheleen_US
dc.contributor.authorVannucci, Marinaen_US
dc.date.accessioned2021-12-17T20:08:19Zen_US
dc.date.available2021-12-17T20:08:19Zen_US
dc.date.issued2019en_US
dc.description.abstractIn many applications, investigators monitor processes that vary in space and time, with the goal of identifying temporally persistent and spatially localized departures from a baseline or “normal” behavior. In this manuscript, we consider the monitoring of pneumonia and influenza (P&I) mortality, to detect influenza outbreaks in the continental United States, and propose a Bayesian nonparametric model selection approach to take into account the spatio-temporal dependence of outbreaks. More specifically, we introduce a zero-inflated conditionally identically distributed species sampling prior which allows borrowing information across time and to assign data to clusters associated to either a null or an alternate process. Spatial dependences are accounted for by means of a Markov random field prior, which allows to inform the selection based on inferences conducted at nearby locations. We show how the proposed modeling framework performs in an application to the P&I mortality data and in a simulation study, and compare with common threshold methods for detecting outbreaks over time, with more recent Markov switching based models, and with spike-and-slab Bayesian nonparametric priors that do not take into account spatio-temporal dependence.en_US
dc.identifier.citationCassese, Alberto, Zhu, Weixuan, Guindani, Michele, et al.. "A Bayesian Nonparametric Spiked Process Prior for Dynamic Model Selection." <i>Bayesian Analysis,</i> 14, no. 2 (2019) Project Euclid: 553-572. https://doi.org/10.1214/18-BA1116.en_US
dc.identifier.digital18-BA1116en_US
dc.identifier.doihttps://doi.org/10.1214/18-BA1116en_US
dc.identifier.urihttps://hdl.handle.net/1911/111874en_US
dc.language.isoengen_US
dc.publisherProject Eucliden_US
dc.rightsCreative Commons Attribution 4.0 International Licenseen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleA Bayesian Nonparametric Spiked Process Prior for Dynamic Model Selectionen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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