{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LOGMCUMJL6PHMLNNOPVXCMZV5N","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":"f6f0a7a4bf8f601694f8db3822be64743d7f093a7005b74d39278d92aba746fc","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2016-04-21T13:54:54Z","title_canon_sha256":"4f3c6cf7a378a22bd5849d05eda97ae919b13cbbbe96d506b40c55487301ec90"},"schema_version":"1.0","source":{"id":"1604.06308","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06308","created_at":"2026-05-18T01:16:32Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06308v1","created_at":"2026-05-18T01:16:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06308","created_at":"2026-05-18T01:16:32Z"},{"alias_kind":"pith_short_12","alias_value":"LOGMCUMJL6PH","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LOGMCUMJL6PHMLNN","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LOGMCUMJ","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:8b0611771a923a13e87daaf2d05f674eb08d5aa6570e3b34088edc21a0a83cad","target":"graph","created_at":"2026-05-18T01:16:32Z","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":"This article addresses the different methods of estimation of the probability density function (PDF) and the cumulative distribution function (CDF) for the Lindley distribution. Following estimation methods are considered: uniformly minimum variance unbiased estimator (UMVUE), maximum likelihood estimator (MLE), percentile estimator (PCE), least square estimator (LSE), weighted least square estimator (WLSE), Cram\\'{e}r-von-Mises estimator (CVME), Anderson-Darling estimator (ADE). Monte Carlo simulations are performed to compare the performances of the proposed methods of estimation.","authors_text":"Indrani Mukherjee, Sudhansu S. Maiti","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2016-04-21T13:54:54Z","title":"Some estimators of the PDF and CDF of the Lindley Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06308","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":"sha256:8a4b7f0da6c2ca8886fe0a85f5cec8f51449d290a321155577c1ce557513eac4","target":"record","created_at":"2026-05-18T01:16:32Z","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":"f6f0a7a4bf8f601694f8db3822be64743d7f093a7005b74d39278d92aba746fc","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2016-04-21T13:54:54Z","title_canon_sha256":"4f3c6cf7a378a22bd5849d05eda97ae919b13cbbbe96d506b40c55487301ec90"},"schema_version":"1.0","source":{"id":"1604.06308","kind":"arxiv","version":1}},"canonical_sha256":"5b8cc151895f9e762dad73eb713335eb6e61bd7f80921531fb86a5f0f0f453e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b8cc151895f9e762dad73eb713335eb6e61bd7f80921531fb86a5f0f0f453e5","first_computed_at":"2026-05-18T01:16:32.054056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:32.054056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SUpNfy1/kSOWS5X5irbtLq/PQOz8wqSvUqIBmXuIJkUPFTbH6tMtbFx1wAWAMxKMRh5r2weoTk/4araaO9rXCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:32.054732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06308","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a4b7f0da6c2ca8886fe0a85f5cec8f51449d290a321155577c1ce557513eac4","sha256:8b0611771a923a13e87daaf2d05f674eb08d5aa6570e3b34088edc21a0a83cad"],"state_sha256":"1616de38ebfe0e2966c3936cae75ef416aea975c29bef57206a2d802766cd9aa"}