{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T11:21:51Z","timestamp":1791199311419,"version":"4.1.0"},"reference-count":18,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"vor","delay-in-days":7487,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-9971586"],"award-info":[{"award-number":["DMS-9971586"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Australian Science Council"},{"DOI":"10.13039\/501100004794","name":"Centre National de la Recherche Scientifique","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004794","id-type":"DOI","asserted-by":"publisher"}]},{"name":"European Union travel and mobility of researchers network","award":["ERB-FMRX-CT96-0095"],"award-info":[{"award-number":["ERB-FMRX-CT96-0095"]}]},{"name":"Statistics Department of the University of Glasgow"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002,10,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>We consider the construction of perfect samplers for posterior distributions associated with mixtures of exponential families and conjugate priors, starting with a perfect slice sampler in the spirit of Mira and co-workers. The methods rely on a marginalization akin to Rao\u2013Blackwellization and illustrate the duality principle of Diebolt and Robert. A first approximation embeds the finite support distribution on the latent variables within a continuous support distribution that is easier to simulate by slice sampling, but we later demonstrate that the approximation can be very poor. We conclude by showing that an alternative perfect sampler based on a single backward chain can be constructed. This alternative can handle much larger sample sizes than the slice sampler first proposed.<\/jats:p>","DOI":"10.1111\/1467-9868.00360","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T19:37:40Z","timestamp":1047497860000},"page":"777-790","source":"Crossref","is-referenced-by-count":39,"title":["Perfect Samplers for Mixtures of Distributions"],"prefix":"10.1093","volume":"64","author":[{"given":"G.","family":"Casella","sequence":"first","affiliation":[{"name":"University of Florida , Gainesville , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"K. L.","family":"Mengersen","sequence":"additional","affiliation":[{"name":"Queensland University of Technology , Brisbane , Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C. P.","family":"Robert","sequence":"additional","affiliation":[{"name":"Centre de Recherche en Economie et Statistique , Paris , and , Paris , France"},{"name":"Universit\u00e9 Dauphine , Paris , and , Paris , France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"D. M.","family":"Titterington","sequence":"additional","affiliation":[{"name":"University of Glasgow , UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2002,10,23]]},"reference":[{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1111\/j.2517-6161.1993.tb01467.x","article-title":"Spatial statistics and Bayesian computation (with discussion)","volume":"55","author":"Besag","year":"1993","journal-title":"J. R. Statist. Soc."},{"key":"2023040200505282200_","article-title":"Catalytic perfect sampler","author":"Breyer","year":"2001","journal-title":"J. Comput. Math."},{"key":"2023040200505282200_","volume-title":"Partitioned importance sampling","author":"Casella","year":"1999"},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1080\/01621459.2000.10474285","article-title":"Computational and inferential difficulties with mixture posterior distributions","volume":"95","author":"Celeux","year":"2000","journal-title":"J. Am. Statist. Ass."},{"key":"2023040200505282200_","article-title":"Perfect sampling from independent Metropolis\u2013Hastings chains","author":"Corcoran","year":"2000","journal-title":"Technical Report"},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1111\/1467-9868.00179","article-title":"Gibbs sampling for Bayesian non-conjugate and hierarchical models by using auxiliary variables","volume":"61","author":"Damien","year":"1999","journal-title":"J. R. Statist. Soc."},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1111\/j.2517-6161.1994.tb01985.x","article-title":"Estimation of finite mixture distributions through Bayesian sampling","volume":"56","author":"Diebolt","year":"1994","journal-title":"J. R. Statist. Soc."},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1111\/j.1751-5823.2001.tb00478.x","article-title":"A guide to exact simulation","volume":"69","author":"Dimakos","year":"2001","journal-title":"Int. Statist. Rev."},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1093\/oso\/9780198504856.003.0013","article-title":"Exact sampling (with discussion)","author":"Green","year":"1999","journal-title":"Bayesian Statistics 6"},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1023\/A:1008912006771","article-title":"On perfect simulation for some mixtures of distributions","volume":"9","author":"Hobert","year":"1999","journal-title":"Statist. Comput."},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1007\/978-1-4612-2224-8_13","article-title":"Perfect simulation for the area-interaction point process","author":"Kendall","year":"1998","journal-title":"Probability Towards 2000"},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1214\/aos\/1033066201","article-title":"Rates of convergence of the Hastings and Metropolis algorithms","volume":"24","author":"Mengersen","year":"1996","journal-title":"Ann. Statist."},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1111\/1467-9868.00301","article-title":"Perfect slice samplers","volume":"63","author":"Mira","year":"2001","journal-title":"J. R. Statist. Soc."},{"key":"2023040200505282200_","article-title":"Perfect simulation for sample-based inference","author":"M\u00f8 ller","year":"1999","journal-title":"Statist. Comput."},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1002\/(SICI)1098-2418(199608\/09)9:1\/2<223::AID-RSA14>3.0.CO;2-O","article-title":"Exact sampling with coupled Markov chains and applications to statistical mechanics","volume":"9","author":"Propp","year":"1996","journal-title":"Rand. Struct. Algs"},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1111\/1467-9868.00095","article-title":"On Bayesian analysis of mixtures with an unknown number of components (with discussion)","volume":"59","author":"Richardson","year":"1997","journal-title":"J. R. Statist. Soc."},{"key":"2023040200505282200_","author":"Titterington","year":"1985","journal-title":"Statistical Analysis of Finite Mixture Distributions"},{"key":"2023040200505282200_","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1090\/dimacs\/041\/11","article-title":"Annotated bibliography of perfectly random sampling with Markov chains","author":"Wilson","year":"1998","journal-title":"Microsurveys in Discrete Probability"}],"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00360","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/64\/4\/777\/49723604\/jrsssb_64_4_777.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/64\/4\/777\/49723604\/jrsssb_64_4_777.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T22:31:24Z","timestamp":1733869884000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/64\/4\/777\/7098614"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,10,1]]},"references-count":18,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2002,10,23]]},"published-print":{"date-parts":[[2002,10,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00360","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2002,10]]},"published":{"date-parts":[[2002,10,1]]}}}