{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Q4VVRJCQR6YPSHTQJJUP3U7JBB","short_pith_number":"pith:Q4VVRJCQ","canonical_record":{"source":{"id":"1602.01213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-02-03T07:16:58Z","cross_cats_sorted":[],"title_canon_sha256":"226a51819bfcad9c5151dec3259b3012f7d891196f024e6f889f24725b0cc1ba","abstract_canon_sha256":"0123c8fccc97f70507bf6dea9348a7fe4aed1383b3ed0e841d83171df1f6ad91"},"schema_version":"1.0"},"canonical_sha256":"872b58a4508fb0f91e704a68fdd3e9085d6152a9c6c5a8b909d8b60c0d48bb92","source":{"kind":"arxiv","id":"1602.01213","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01213","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01213v1","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01213","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"Q4VVRJCQR6YP","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q4VVRJCQR6YPSHTQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q4VVRJCQ","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Q4VVRJCQR6YPSHTQJJUP3U7JBB","target":"record","payload":{"canonical_record":{"source":{"id":"1602.01213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-02-03T07:16:58Z","cross_cats_sorted":[],"title_canon_sha256":"226a51819bfcad9c5151dec3259b3012f7d891196f024e6f889f24725b0cc1ba","abstract_canon_sha256":"0123c8fccc97f70507bf6dea9348a7fe4aed1383b3ed0e841d83171df1f6ad91"},"schema_version":"1.0"},"canonical_sha256":"872b58a4508fb0f91e704a68fdd3e9085d6152a9c6c5a8b909d8b60c0d48bb92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:20.792425Z","signature_b64":"YaGHnGvfaEQ9PmAtXISpH1e6Cx7oLf8ibqmuBfkQ0Nuyzbog6laUbcHbybHIh0dJdMwWDJ4vAmFvSioLJkV3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"872b58a4508fb0f91e704a68fdd3e9085d6152a9c6c5a8b909d8b60c0d48bb92","last_reissued_at":"2026-05-18T01:21:20.791837Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:20.791837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.01213","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQXBgbSR3OhUw/hF7hIKkz6EzDPpUpkh9PyKQchRPUdisaRmP8heY+PouoPI4Em38YQiRNL1ouLJJaBSF1wDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:57:09.980153Z"},"content_sha256":"cbd193a8d139c498251f91532b6297b6d5cffc9947bc473c778aa4cb507f1d40","schema_version":"1.0","event_id":"sha256:cbd193a8d139c498251f91532b6297b6d5cffc9947bc473c778aa4cb507f1d40"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Q4VVRJCQR6YPSHTQJJUP3U7JBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximum leave-one-out likelihood estimation for location parameter of unbounded densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Jennifer S.K. Chan, Thanakorn Nitithumbundit","submitted_at":"2016-02-03T07:16:58Z","abstract_excerpt":"Maximum likelihood estimation of a location parameter fails when the density have unbounded mode. An alternative approach is considered by leaving out a data point to avoid the unbounded density in the full likelihood. This modification give rise to the leave-one-out likelihood. We propose an ECM algorithm which maximises the leave-one-out likelihood. It was shown that the estimator which maximises the leave-one-out likelihood is consistent and super-efficient. However, other asymptotic properties such as the optimal rate of convergence and asymptotic distribution is still under question. We u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01213","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ens9n41FUksql/il46leHB0zuoDz9BgfBShoAr1pSd1uQuX1fkIiVYuAMbGi0zPnKwE12wAHXYouvNPb6fEUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:57:09.980527Z"},"content_sha256":"638f19e94271386dfac9b7dbd534d0ad12c0ae666f4fca401f5655ca950d619c","schema_version":"1.0","event_id":"sha256:638f19e94271386dfac9b7dbd534d0ad12c0ae666f4fca401f5655ca950d619c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB/bundle.json","state_url":"https://pith.science/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T19:57:09Z","links":{"resolver":"https://pith.science/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB","bundle":"https://pith.science/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB/bundle.json","state":"https://pith.science/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4VVRJCQR6YPSHTQJJUP3U7JBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Q4VVRJCQR6YPSHTQJJUP3U7JBB","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":"0123c8fccc97f70507bf6dea9348a7fe4aed1383b3ed0e841d83171df1f6ad91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-02-03T07:16:58Z","title_canon_sha256":"226a51819bfcad9c5151dec3259b3012f7d891196f024e6f889f24725b0cc1ba"},"schema_version":"1.0","source":{"id":"1602.01213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01213","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01213v1","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01213","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"Q4VVRJCQR6YP","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q4VVRJCQR6YPSHTQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q4VVRJCQ","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:638f19e94271386dfac9b7dbd534d0ad12c0ae666f4fca401f5655ca950d619c","target":"graph","created_at":"2026-05-18T01:21:20Z","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":"Maximum likelihood estimation of a location parameter fails when the density have unbounded mode. An alternative approach is considered by leaving out a data point to avoid the unbounded density in the full likelihood. This modification give rise to the leave-one-out likelihood. We propose an ECM algorithm which maximises the leave-one-out likelihood. It was shown that the estimator which maximises the leave-one-out likelihood is consistent and super-efficient. However, other asymptotic properties such as the optimal rate of convergence and asymptotic distribution is still under question. We u","authors_text":"Jennifer S.K. Chan, Thanakorn Nitithumbundit","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-02-03T07:16:58Z","title":"Maximum leave-one-out likelihood estimation for location parameter of unbounded densities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01213","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:cbd193a8d139c498251f91532b6297b6d5cffc9947bc473c778aa4cb507f1d40","target":"record","created_at":"2026-05-18T01:21:20Z","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":"0123c8fccc97f70507bf6dea9348a7fe4aed1383b3ed0e841d83171df1f6ad91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-02-03T07:16:58Z","title_canon_sha256":"226a51819bfcad9c5151dec3259b3012f7d891196f024e6f889f24725b0cc1ba"},"schema_version":"1.0","source":{"id":"1602.01213","kind":"arxiv","version":1}},"canonical_sha256":"872b58a4508fb0f91e704a68fdd3e9085d6152a9c6c5a8b909d8b60c0d48bb92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"872b58a4508fb0f91e704a68fdd3e9085d6152a9c6c5a8b909d8b60c0d48bb92","first_computed_at":"2026-05-18T01:21:20.791837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:20.791837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YaGHnGvfaEQ9PmAtXISpH1e6Cx7oLf8ibqmuBfkQ0Nuyzbog6laUbcHbybHIh0dJdMwWDJ4vAmFvSioLJkV3Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:20.792425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbd193a8d139c498251f91532b6297b6d5cffc9947bc473c778aa4cb507f1d40","sha256:638f19e94271386dfac9b7dbd534d0ad12c0ae666f4fca401f5655ca950d619c"],"state_sha256":"1a0dfe0f5eb2fdd4bba3efaeb84361a4244e9554d22afb7c13d809bf81d05006"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hza48PNR1nPvjlTCsH0zUZ02iHJDjFTQEgn5GgHfOaJN8Z+iG5BB4g0nzRcQIMmz7/Y/epesbysP0NLNXBDFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T19:57:09.982440Z","bundle_sha256":"32185b8fa0e968dd183dba515b17f1d914daa61a9044389e75ba1483786efe05"}}