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dc.contributor.authorJin, Ick Hoon
dc.contributor.authorLiang, Faming
dc.contributor.authorYuan, Ying
dc.date.accessioned2016-02-25T12:43:40Z
dc.date.available2016-02-25T12:43:40Z
dc.date.issued2013
dc.identifier.citationJin IH, Liang F, Yuan Y (2013) Bayesian analysis for exponential random graph models using the adaptive exchange sampler. Statistics and Its Interface 6: 559–576. Available: http://dx.doi.org/10.4310/sii.2013.v6.n4.a13.
dc.identifier.issn1938-7989
dc.identifier.issn1938-7997
dc.identifier.pmid24653788
dc.identifier.doi10.4310/sii.2013.v6.n4.a13
dc.identifier.urihttp://hdl.handle.net/10754/597647
dc.description.abstractExponential random graph models have been widely used in social network analysis. However, these models are extremely difficult to handle from a statistical viewpoint, because of the existence of intractable normalizing constants. In this paper, we consider a fully Bayesian analysis for exponential random graph models using the adaptive exchange sampler, which solves the issue of intractable normalizing constants encountered in Markov chain Monte Carlo (MCMC) simulations. The adaptive exchange sampler can be viewed as a MCMC extension of the exchange algorithm, and it generates auxiliary networks via an importance sampling procedure from an auxiliary Markov chain running in parallel. The convergence of this algorithm is established under mild conditions. The adaptive exchange sampler is illustrated using a few social networks, including the Florentine business network, molecule synthetic network, and dolphins network. The results indicate that the adaptive exchange algorithm can produce more accurate estimates than approximate exchange algorithms, while maintaining the same computational efficiency.
dc.description.sponsorshipYuan and Jin acknowledge support from the NIH grant R01CA154591.Liang’s research was partially supported by grants from the NationalScience Foundation (DMS-1007457, DMS-1106494 and DMS-1317131)and the award (KUS-C1-016-04) made by King Abdullah Universityof Science and Technology (KAUST)
dc.publisherInternational Press of Boston
dc.subjectAdaptive markov chain monte carlo
dc.subjectExchange algorithm
dc.subjectExponential random graph model
dc.subjectSocial network
dc.titleBayesian analysis for exponential random graph models using the adaptive exchange sampler
dc.typeArticle
dc.identifier.journalStatistics and Its Interface
dc.contributor.institutionDepartment of Biostatistics, The University of Texas M.D. Anderson Cancer Center, Houston, Texas, U.S.A.
dc.contributor.institutionDepartment of Statistics, Texas A&M University, College Station, Texas, U.S.A.
kaust.grant.numberKUS-C1-016-04


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