{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LESGJ5UOIH4ZPADIIABI4XT776","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":"ba516e32c1dba861dcb40383fd2ff6913ff87e782bcabf5d7a14bcb827fdd343","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-22T17:58:37Z","title_canon_sha256":"56d54ab7b5f7791f1f6de3ebbbc4d26f5bd9fa22104da40e7315b201f5f7f98b"},"schema_version":"1.0","source":{"id":"1405.5841","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5841","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5841v1","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5841","created_at":"2026-05-18T02:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"LESGJ5UOIH4Z","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LESGJ5UOIH4ZPADI","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LESGJ5UO","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:4fe387593d3f38d5205d62e0e23224ea216c013117344e02fcb84d9952e121c8","target":"graph","created_at":"2026-05-18T02:51:15Z","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":"The failure rate function plays an important role in studying the lifetime distributions in reliability theory and life testing models. A study of the general failure rate model $r(t)=a+bt^{\\theta-1}$, under squared error loss function taking $a$ and $b$ independent exponential random variables has been analyzed in the literature. In this article, we consider $a$ and $b$ not necessarily independent. The estimates of the parameters $a$ and $b$ under squared error loss, linex loss and entropy loss functions are obtained here.","authors_text":"Amarjit Kundu, Asok K. Nanda, Chanchal Kundu, Sudhansu S. Maiti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-22T17:58:37Z","title":"Parameter Estimates of General Failure Rate Model: A Bayesian Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5841","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":"sha256:909a157f96c4b60f7ff12b852afc43be2d1ed175455a1beb63d1f3dafecc8bac","target":"record","created_at":"2026-05-18T02:51:15Z","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":"ba516e32c1dba861dcb40383fd2ff6913ff87e782bcabf5d7a14bcb827fdd343","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-22T17:58:37Z","title_canon_sha256":"56d54ab7b5f7791f1f6de3ebbbc4d26f5bd9fa22104da40e7315b201f5f7f98b"},"schema_version":"1.0","source":{"id":"1405.5841","kind":"arxiv","version":1}},"canonical_sha256":"592464f68e41f997806840028e5e7fff8d0356a5fed72a932d390f99612ab3c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"592464f68e41f997806840028e5e7fff8d0356a5fed72a932d390f99612ab3c2","first_computed_at":"2026-05-18T02:51:15.483715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:15.483715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GBeYGdaSw/XsjAGRoqH3+Tjnh/sYVIvDQ+VnNO1lIka2aZo/xiqqGfN+8ameYQlc4VxDPSgyllXdsapYgskEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:15.484155Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5841","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:909a157f96c4b60f7ff12b852afc43be2d1ed175455a1beb63d1f3dafecc8bac","sha256:4fe387593d3f38d5205d62e0e23224ea216c013117344e02fcb84d9952e121c8"],"state_sha256":"f14937b4ede1bfd98380142e9ae35d48f9388062b2cd83751e4367713dabde4e"}