A Constrained Dynamic Bivariate Poisson Stochastic Block Model for Hospital Network Data
- Autori: Pandolfi, Silvia; Bartolucci, Francesco; Li Donni, Paolo
- Anno di pubblicazione: 2025
- Tipologia: Capitolo o Saggio
- OA Link: http://hdl.handle.net/10447/676024
Abstract
Anextendedstochasticblockmodelforclusteringdynamicweightednetworkdataisintroduced,wheretheblockmembershipsarerepresentedbyasequenceoflatentvariablesfollowingaMarkovchain.MotivatedbytheavailabilityoforiginaldataonpatienttransferswithinanetworkofItalianhospitals,weproposetorelyonabivariatePois-sontoexplicitlymodelthedistributionofthedyadsconditionalonthestatesoccupiedbybothnodesinvolvedintherelationatagiventimeoccasion.Inordertoenhancetheinterpretationofthemodelparameters,weproposesuitableconstrainsthatallowtodescribethepropensityofnodestodirectedinteractions.Modelinferenceisbasedonavariationalapproach.