{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T11:21:45Z","timestamp":1791199305876,"version":"4.1.0"},"reference-count":26,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2013,12,9]],"date-time":"2013-12-09T00:00:00Z","timestamp":1386547200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014,11,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>The choice of the summary statistics that are used in Bayesian inference and in particular in approximate Bayesian computation algorithms has bearings on the validation of the resulting inference. Those statistics are nonetheless customarily used in approximate Bayesian computation algorithms without consistency checks. We derive necessary and sufficient conditions on summary statistics for the corresponding Bayes factor to be convergent, namely to select the true model asymptotically. Those conditions, which amount to the expectations of the summary statistics differing asymptotically under the two models, are quite natural and can be exploited in approximate Bayesian computation settings to infer whether or not a choice of summary statistics is appropriate, via a Monte Carlo validation.<\/jats:p>","DOI":"10.1111\/rssb.12056","type":"journal-article","created":{"date-parts":[[2013,12,9]],"date-time":"2013-12-09T07:38:42Z","timestamp":1386574722000},"page":"833-859","source":"Crossref","is-referenced-by-count":74,"title":["Relevant Statistics for Bayesian Model Choice"],"prefix":"10.1093","volume":"76","author":[{"given":"Jean-Michel","family":"Marin","sequence":"first","affiliation":[{"name":"Universit\u00e9 Montpellier 2 \u00a0 \u00a0 , Montpellier , France"},{"name":"Institut de Math\u00e9matiques et de Mod\u00e9lisation de Montpellier \u00a0 \u00a0 , Montpellier , France"},{"name":"Institut de Biologie Computationnelle \u00a0 \u00a0 , Montpellier , France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Natesh S.","family":"Pillai","sequence":"additional","affiliation":[{"name":"Harvard University , Cambridge , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christian P.","family":"Robert","sequence":"additional","affiliation":[{"name":"Universit \u00b4e Paris\u2014 \u00a0 Dauphine , France"},{"name":"University of Warwick , Coventry , UK"},{"name":"Centre de Recherche en Economie et Statistique , Paris , France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Judith","family":"Rousseau","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2013,12,9]]},"reference":[{"key":"2023031107151986600_","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s11222-008-9083-x","article-title":"Bayesian estimation of quantile distributions","volume":"19","author":"Allingham","year":"2009","journal-title":"Statist. 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