{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R5ASTUHRB6S56LYP3GRZKHZ5FB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9d09a2a6248923f01c0bfae878b119d2a4ec9ec35c7c0e8f4be45e88ce7a19fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-04-11T13:30:03Z","title_canon_sha256":"429fd38ac7fc80885fa36d195854ec10f335e35d32515cc15870dc0b4558ace3"},"schema_version":"1.0","source":{"id":"1904.05886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05886","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05886v1","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05886","created_at":"2026-05-17T23:48:44Z"},{"alias_kind":"pith_short_12","alias_value":"R5ASTUHRB6S5","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R5ASTUHRB6S56LYP","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R5ASTUHR","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:a5964dbd4a06705d649f8a5af5d7d736f1150e27a092e2ee301ecf4681b99d4d","target":"graph","created_at":"2026-05-17T23:48:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the efficient use of an approximation within Markov chain Monte Carlo (MCMC), with subsequent importance sampling (IS) correction of the Markov chain inexact output, leading to asymptotically exact inference. We detail convergence and central limit theorems for the resulting MCMC-IS estimators. We also consider the case where the approximate Markov chain is pseudo-marginal, requiring unbiased estimators for its approximate marginal target. Convergence results with asymptotic variance formulae are shown for this case, and for the case where the IS weights based on unbiased estimator","authors_text":"Jordan Franks","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-04-11T13:30:03Z","title":"Markov chain Monte Carlo importance samplers for Bayesian models with intractable likelihoods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05886","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1f6dbe397479955a79633e7102544f1faa838d08ed5da294da9d1a39653abae4","target":"record","created_at":"2026-05-17T23:48:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9d09a2a6248923f01c0bfae878b119d2a4ec9ec35c7c0e8f4be45e88ce7a19fa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-04-11T13:30:03Z","title_canon_sha256":"429fd38ac7fc80885fa36d195854ec10f335e35d32515cc15870dc0b4558ace3"},"schema_version":"1.0","source":{"id":"1904.05886","kind":"arxiv","version":1}},"canonical_sha256":"8f4129d0f10fa5df2f0fd9a3951f3d2842ccd6492ae5b7327da5f355ef213d19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f4129d0f10fa5df2f0fd9a3951f3d2842ccd6492ae5b7327da5f355ef213d19","first_computed_at":"2026-05-17T23:48:44.797936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:44.797936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"diFcvyopQB1+cv7S8AibEB2a3IA5irwUy1CobvlUnalReYkQ7hC7qMAgJjgcI8di7ejGi5veKxP9gavfSDtcCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:44.798434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f6dbe397479955a79633e7102544f1faa838d08ed5da294da9d1a39653abae4","sha256:a5964dbd4a06705d649f8a5af5d7d736f1150e27a092e2ee301ecf4681b99d4d"],"state_sha256":"58df096cf5753fb0db6898eec75ec1cd77879d53edd30e307648663f5c79a082"}