Anextendedstochasticblockmodelforclusteringdynamicweightednetworkdataisintroduced,wheretheblockmembershipsarerepresentedbyasequenceoflatentvariablesfollowingaMarkovchain.MotivatedbytheavailabilityoforiginaldataonpatienttransferswithinanetworkofItalianhospitals,weproposetorelyonabivariatePois-sontoexplicitlymodelthedistributionofthedyadsconditionalonthestatesoccupiedbybothnodesinvolvedintherelationatagiventimeoccasion.Inordertoenhancetheinterpretationofthemodelparameters,weproposesuitableconstrainsthatallowtodescribethepropensityofnodestodirectedinteractions.Modelinferenceisbasedonavariationalapproach.
Pandolfi, S., Bartolucci, F., Li Donni, P. (2025). A Constrained Dynamic Bivariate Poisson Stochastic Block Model for Hospital Network Data. In Methodological and Applied Statistics and Demography II (pp. 139-145) [10.1007/978-3-031-64350-7_25].
A Constrained Dynamic Bivariate Poisson Stochastic Block Model for Hospital Network Data
Bartolucci, Francesco;Li Donni, Paolo
2025-01-01
Abstract
Anextendedstochasticblockmodelforclusteringdynamicweightednetworkdataisintroduced,wheretheblockmembershipsarerepresentedbyasequenceoflatentvariablesfollowingaMarkovchain.MotivatedbytheavailabilityoforiginaldataonpatienttransferswithinanetworkofItalianhospitals,weproposetorelyonabivariatePois-sontoexplicitlymodelthedistributionofthedyadsconditionalonthestatesoccupiedbybothnodesinvolvedintherelationatagiventimeoccasion.Inordertoenhancetheinterpretationofthemodelparameters,weproposesuitableconstrainsthatallowtodescribethepropensityofnodestodirectedinteractions.Modelinferenceisbasedonavariationalapproach.
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