{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7DGN4US3U7EN5ERV2UZVBTHX77","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":"9e2c384c42a9f45252089d83eb920a27abc11960a411d3112de87406effe6cc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-01-21T06:49:52Z","title_canon_sha256":"1cc1dd36256d354e7f5d9ae25173141de453952aa6477648285b6eeeeade17c6"},"schema_version":"1.0","source":{"id":"1501.05072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05072","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05072v1","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05072","created_at":"2026-05-18T02:29:00Z"},{"alias_kind":"pith_short_12","alias_value":"7DGN4US3U7EN","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7DGN4US3U7EN5ERV","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7DGN4US3","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:fb723a7727c708a9e2e41b9cc3f579adb785985a19e79feb5084bdd5b1483b1e","target":"graph","created_at":"2026-05-18T02:29:00Z","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":"In this article, the reliabilities $R(t)=P(X\\geq t)$, when $X$ follows two-parameter geometric distribution and $R=P(X\\leq Y)$, arises under stress-strength setup, when X and Y assumed to follow two-parameter geometric independently have been found out. Maximum Likelihood Estimator (MLE) and an Unbiased Estimator (UE) of these have been derived. MLE and UE of the reliability of k-out-of-m system have also been derived. The estimators have been compared through simulation study.","authors_text":"G. Chattopadhyay, Sudhansu S. Maiti, Sudhir Murmu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-01-21T06:49:52Z","title":"Estimation of Reliability in the Two-Parameter Geometric Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05072","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":"sha256:41f106a062594aa85b0ae9571c84230bd1a990425ce67df3e91b55045d965e9c","target":"record","created_at":"2026-05-18T02:29:00Z","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":"9e2c384c42a9f45252089d83eb920a27abc11960a411d3112de87406effe6cc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-01-21T06:49:52Z","title_canon_sha256":"1cc1dd36256d354e7f5d9ae25173141de453952aa6477648285b6eeeeade17c6"},"schema_version":"1.0","source":{"id":"1501.05072","kind":"arxiv","version":1}},"canonical_sha256":"f8ccde525ba7c8de9235d53350ccf7ffd9794197c441e367a84a239fd0399b25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8ccde525ba7c8de9235d53350ccf7ffd9794197c441e367a84a239fd0399b25","first_computed_at":"2026-05-18T02:29:00.804859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:00.804859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7XSi8x5tJh4gjtJtg5VtdOgmlKipMaI8UAxg5pBkZXata1/A0YJVg2ax4v4AF8EcnlVbLXiP6KYhhtTUYYZzCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:00.805292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.05072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41f106a062594aa85b0ae9571c84230bd1a990425ce67df3e91b55045d965e9c","sha256:fb723a7727c708a9e2e41b9cc3f579adb785985a19e79feb5084bdd5b1483b1e"],"state_sha256":"4f47770689531c554f763bb6ebbc2088c802f7966c50415c0b2b918d2ff70dd4"}