{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6IIJ6G56SQRJYIM4ZHXRDBXKYD","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":"9a7cbef90825e58ab47e7416352624a1b2d40daa8590fa9c1fe33595f8f03b4b","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-09-25T11:58:04Z","title_canon_sha256":"65a1d2e6fbf7baec8ef48570a34c32dfbcd7eb88e6bf5f2d2ac1c10bd8bcd418"},"schema_version":"1.0","source":{"id":"1309.6473","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6473","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6473v4","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6473","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"pith_short_12","alias_value":"6IIJ6G56SQRJ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6IIJ6G56SQRJYIM4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6IIJ6G56","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:b2a038ee3005171e0891748c32f8c756ca8ca8f54609bbff0dbf4e4017ac2699","target":"graph","created_at":"2026-05-18T02:19:50Z","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 study the existence of algorithms generating almost surely nonnegative unbiased estimators. We show that given a nonconstant real-valued function $f$ and a sequence of unbiased estimators of $\\lambda\\in\\mathbb{R}$, there is no algorithm yielding almost surely nonnegative unbiased estimators of $f(\\lambda)\\in\\mathbb{R}^+$. The study is motivated by pseudo-marginal Monte Carlo algorithms that rely on such nonnegative unbiased estimators. These methods allow \"exact inference\" in intractable models, in the sense that integrals with respect to a target distribution can be estimated without any s","authors_text":"Alexandre H. Thiery, Pierre E. Jacob","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-09-25T11:58:04Z","title":"On nonnegative unbiased estimators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6473","kind":"arxiv","version":4},"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":"sha256:33b6cb00808dda3c85c28b202b3fc6f7bb3647e8e25b05ad43d9428f6416b4f3","target":"record","created_at":"2026-05-18T02:19:50Z","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":"9a7cbef90825e58ab47e7416352624a1b2d40daa8590fa9c1fe33595f8f03b4b","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-09-25T11:58:04Z","title_canon_sha256":"65a1d2e6fbf7baec8ef48570a34c32dfbcd7eb88e6bf5f2d2ac1c10bd8bcd418"},"schema_version":"1.0","source":{"id":"1309.6473","kind":"arxiv","version":4}},"canonical_sha256":"f2109f1bbe94229c219cc9ef1186eac0de2035036f67883d0e096ecea10ab04b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2109f1bbe94229c219cc9ef1186eac0de2035036f67883d0e096ecea10ab04b","first_computed_at":"2026-05-18T02:19:50.849781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:50.849781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WKBaoah0Qg0ONr5Rz4kcUahcg4jp5FwOxUj/ehbrooektWtP4C3qGRdjXbB63euSjZm0ETp0z/L4euM2ft+EDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:50.850470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6473","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33b6cb00808dda3c85c28b202b3fc6f7bb3647e8e25b05ad43d9428f6416b4f3","sha256:b2a038ee3005171e0891748c32f8c756ca8ca8f54609bbff0dbf4e4017ac2699"],"state_sha256":"fb1f534e0cf796d50ab426e8ec077abde8bc32327ab1ce3a6abcffad4691abaa"}