{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:COLCQIQB6F4R4JPTCT4RKOVDBV","short_pith_number":"pith:COLCQIQB","schema_version":"1.0","canonical_sha256":"1396282201f1791e25f314f9153aa30d4c66b06a4b7de5c78406df8eb5643793","source":{"kind":"arxiv","id":"1501.02201","version":1},"attestation_state":"computed","paper":{"title":"Inference on the Parameters of the Weibull Distribution Using Records","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ali Akbar Jafari, Hojatollah Zakerzadeh","submitted_at":"2015-01-09T17:22:37Z","abstract_excerpt":"The Weibull distribution is a very applicable model for the lifetime data. In this paper, we have investigated inference on the parameters of Weibull distribution based on record values. We first propose a simple and exact test and a confidence interval for the shape parameter. Then, in addition to a generalized confidence interval, a generalized test variable is derived for the scale parameter when the shape parameter is unknown. The paper presents a simple and exact joint confidence region as well. %for the scale and shape parameters. In all cases, simulation studies show that the proposed a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.02201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-01-09T17:22:37Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ef7f6c0c0ef46d92f3f20ed0253e524f2f8ef667744d2b1ae99e40d384674932","abstract_canon_sha256":"76cc5021fdcda33a6cc9cc9ec2fb5d107d892332ca7ea7bc796726d4c50bf1d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:44.664269Z","signature_b64":"tzPp6cYlDDQSzFnzQ1ZXqHe/bkqovfW3SKyon2CSS6FzkCmQuKRdskqHI1xDU6nc9yGyYj8yUX1h0bYofiDoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1396282201f1791e25f314f9153aa30d4c66b06a4b7de5c78406df8eb5643793","last_reissued_at":"2026-05-18T02:29:44.663793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:44.663793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inference on the Parameters of the Weibull Distribution Using Records","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ali Akbar Jafari, Hojatollah Zakerzadeh","submitted_at":"2015-01-09T17:22:37Z","abstract_excerpt":"The Weibull distribution is a very applicable model for the lifetime data. In this paper, we have investigated inference on the parameters of Weibull distribution based on record values. We first propose a simple and exact test and a confidence interval for the shape parameter. Then, in addition to a generalized confidence interval, a generalized test variable is derived for the scale parameter when the shape parameter is unknown. The paper presents a simple and exact joint confidence region as well. %for the scale and shape parameters. In all cases, simulation studies show that the proposed a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02201","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.02201","created_at":"2026-05-18T02:29:44.663886+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.02201v1","created_at":"2026-05-18T02:29:44.663886+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02201","created_at":"2026-05-18T02:29:44.663886+00:00"},{"alias_kind":"pith_short_12","alias_value":"COLCQIQB6F4R","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"COLCQIQB6F4R4JPT","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"COLCQIQB","created_at":"2026-05-18T12:29:17.054201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV","json":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV.json","graph_json":"https://pith.science/api/pith-number/COLCQIQB6F4R4JPTCT4RKOVDBV/graph.json","events_json":"https://pith.science/api/pith-number/COLCQIQB6F4R4JPTCT4RKOVDBV/events.json","paper":"https://pith.science/paper/COLCQIQB"},"agent_actions":{"view_html":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV","download_json":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV.json","view_paper":"https://pith.science/paper/COLCQIQB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.02201&json=true","fetch_graph":"https://pith.science/api/pith-number/COLCQIQB6F4R4JPTCT4RKOVDBV/graph.json","fetch_events":"https://pith.science/api/pith-number/COLCQIQB6F4R4JPTCT4RKOVDBV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV/action/storage_attestation","attest_author":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV/action/author_attestation","sign_citation":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV/action/citation_signature","submit_replication":"https://pith.science/pith/COLCQIQB6F4R4JPTCT4RKOVDBV/action/replication_record"}},"created_at":"2026-05-18T02:29:44.663886+00:00","updated_at":"2026-05-18T02:29:44.663886+00:00"}