{"paper":{"title":"An MCMC hypothesis test to check a claimed sampler: applied to a claimed sampler for the G-Wishart distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"H{\\aa}kon Tjelmeland, Hanna Bu Kval{\\o}y","submitted_at":"2025-05-30T09:30:08Z","abstract_excerpt":"Suppose we have a distribution of interest, with density $p(x),x\\in {\\cal X}$ say, and an algorithm\n  claimed to generate samples from $p(x)$. Moreover, assume we have available a Metropolis--Hastings\n  transition kernel fulfilling detail balance with respect to $p(x)$. In such a situation we\n  formulate a hypothesis test where $H_0$ is that the claimed sampler really generates\n  correct samples from $p(x)$. We use that if initialising the Metropolis--Hastings algorithm with a\n  sample generated by the claimed sampler and run the chain for a fixed number of updates, the\n  initial and final sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24400","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.24400/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}