{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LESGJ5UOIH4ZPADIIABI4XT776","short_pith_number":"pith:LESGJ5UO","canonical_record":{"source":{"id":"1405.5841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-22T17:58:37Z","cross_cats_sorted":[],"title_canon_sha256":"56d54ab7b5f7791f1f6de3ebbbc4d26f5bd9fa22104da40e7315b201f5f7f98b","abstract_canon_sha256":"ba516e32c1dba861dcb40383fd2ff6913ff87e782bcabf5d7a14bcb827fdd343"},"schema_version":"1.0"},"canonical_sha256":"592464f68e41f997806840028e5e7fff8d0356a5fed72a932d390f99612ab3c2","source":{"kind":"arxiv","id":"1405.5841","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LESGJ5UOIH4ZPADIIABI4XT776","target":"record","payload":{"canonical_record":{"source":{"id":"1405.5841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-05-22T17:58:37Z","cross_cats_sorted":[],"title_canon_sha256":"56d54ab7b5f7791f1f6de3ebbbc4d26f5bd9fa22104da40e7315b201f5f7f98b","abstract_canon_sha256":"ba516e32c1dba861dcb40383fd2ff6913ff87e782bcabf5d7a14bcb827fdd343"},"schema_version":"1.0"},"canonical_sha256":"592464f68e41f997806840028e5e7fff8d0356a5fed72a932d390f99612ab3c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:15.484155Z","signature_b64":"GBeYGdaSw/XsjAGRoqH3+Tjnh/sYVIvDQ+VnNO1lIka2aZo/xiqqGfN+8ameYQlc4VxDPSgyllXdsapYgskEBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"592464f68e41f997806840028e5e7fff8d0356a5fed72a932d390f99612ab3c2","last_reissued_at":"2026-05-18T02:51:15.483715Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:15.483715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.5841","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":"2026-05-18T02:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gDXs3pIGSeSPP5SatiS+czv5MXx5a3EQsi51jiU/yR2UlYNO4RzG8Ba/7PEZCnWIafz6ccYpsPE/Y2GdCUAMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:17:21.287633Z"},"content_sha256":"909a157f96c4b60f7ff12b852afc43be2d1ed175455a1beb63d1f3dafecc8bac","schema_version":"1.0","event_id":"sha256:909a157f96c4b60f7ff12b852afc43be2d1ed175455a1beb63d1f3dafecc8bac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LESGJ5UOIH4ZPADIIABI4XT776","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parameter Estimates of General Failure Rate Model: A Bayesian Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Amarjit Kundu, Asok K. Nanda, Chanchal Kundu, Sudhansu S. Maiti","submitted_at":"2014-05-22T17:58:37Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5841","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":"2026-05-18T02:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r6q0j8mqmLXXavXMEbNv3LHLzdWknjeuqQY9sWrrqA87fGmpIdqNY+Xxv5fREEqcR/VDFHzLVzbrh1JRIyZiCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:17:21.287982Z"},"content_sha256":"4fe387593d3f38d5205d62e0e23224ea216c013117344e02fcb84d9952e121c8","schema_version":"1.0","event_id":"sha256:4fe387593d3f38d5205d62e0e23224ea216c013117344e02fcb84d9952e121c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LESGJ5UOIH4ZPADIIABI4XT776/bundle.json","state_url":"https://pith.science/pith/LESGJ5UOIH4ZPADIIABI4XT776/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LESGJ5UOIH4ZPADIIABI4XT776/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":"2026-06-02T04:17:21Z","links":{"resolver":"https://pith.science/pith/LESGJ5UOIH4ZPADIIABI4XT776","bundle":"https://pith.science/pith/LESGJ5UOIH4ZPADIIABI4XT776/bundle.json","state":"https://pith.science/pith/LESGJ5UOIH4ZPADIIABI4XT776/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LESGJ5UOIH4ZPADIIABI4XT776/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KtgCoMQ2HKQfxvO+zOoytbdFjqlI11ncE+rOOlZR954L586wyCwVs7757UYn3CdKQinkAlFJP6h3mqyNJRv4CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:17:21.289874Z","bundle_sha256":"463bc007844e78122f7267fcb6fbcee8f4cf3ccb8b8d19859db2ecc2d3e4d3ed"}}