Tractable Bayes of skew-elliptical link models for correlated binary data

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dc.contributor.authorZhang, Zhongwei
dc.contributor.authorArellano-Valle, Reinaldo B.
dc.contributor.authorGenton, Marc G.
dc.contributor.authorHuser, Raphael
dc.date.accessioned2025-01-20T20:20:56Z
dc.date.available2025-01-20T20:20:56Z
dc.date.issued2023
dc.description.abstractCorrelated binary response data with covariates are ubiquitous in longitudinal or spatial studies. Among the existing statistical models, the most well-known one for this type of data is the multivariate probit model, which uses a Gaussian link to model dependence at the latent level. However, a symmetric link may not be appropriate if the data are highly imbalanced. Here, we propose a multivariate skew-elliptical link model for correlated binary responses, which includes the multivariate probit model as a special case. Furthermore, we perform Bayesian inference for this new model and prove that the regression coefficients have a closed-form unified skew-elliptical posterior with an elliptical prior. The new methodology is illustrated by an application to COVID-19 data from three different counties of the state of California, USA. By jointly modeling extreme spikes in weekly new cases, our results show that the spatial dependence cannot be neglected. Furthermore, the results also show that the skewed latent structure of our proposed model improves the flexibility of the multivariate probit model and provides a better fit to our highly imbalanced dataset.
dc.fuente.origenWOS
dc.identifier.doi10.1111/biom.13731
dc.identifier.eissn1541-0420
dc.identifier.issn0006-341X
dc.identifier.urihttps://doi.org/10.1111/biom.13731
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92604
dc.identifier.wosidWOS:000850248400001
dc.issue.numero3
dc.language.isoen
dc.pagina.final1800
dc.pagina.inicio1788
dc.revistaBiometrics
dc.rightsacceso restringido
dc.subjectasymmetric link model
dc.subjectcorrelated binary data
dc.subjectCOVID-19 pandemic
dc.subjectMarkov chain Monte Carlo
dc.subjecttractable Bayes
dc.subjectunified skew-elliptical distribution
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleTractable Bayes of skew-elliptical link models for correlated binary data
dc.typeartículo
dc.volumen79
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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