{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XMYQ36COUOTDAW5KMRDOHPCRRT","short_pith_number":"pith:XMYQ36CO","schema_version":"1.0","canonical_sha256":"bb310df84ea3a6305baa6446e3bc518cd943455a8ad93bc847a23b378d5c1e88","source":{"kind":"arxiv","id":"1709.07593","version":1},"attestation_state":"computed","paper":{"title":"The Long Term Fr\\'echet distribution: Estimation, Properties and its Application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Diego Nascimento, Francisco Louzada, Pedro Luiz Ramos","submitted_at":"2017-09-22T05:05:22Z","abstract_excerpt":"In this paper a new long-term survival distribution is proposed. The so called long term Fr\\'echet distribution allows us to fit data where a part of the population is not susceptible to the event of interest. This model may be used, for example, in clinical studies where a portion of the population can be cured during a treatment. It is shown an account of mathematical properties of the new distribution such as its moments and survival properties. As well is presented the maximum likelihood estimators (MLEs) for the parameters. A numerical simulation is carried out in order to verify the perf"},"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":"1709.07593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-09-22T05:05:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"58c036ef0e053dc0e8d1c6de1576bb26d426ff8d508aaf77d4471afb0e913c64","abstract_canon_sha256":"cc2992d1173c1339347cc1eb7699618a8b35416c258333193e1011d44e0b13fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:32.764513Z","signature_b64":"Fvl3Qn+gwh5FRqJXkSgJbjvWMFnaoROJMLJsKBsieA3b1AoUfI2IYLg2BYlY3cKNxU+Z5d7ijqr3uTde258wBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb310df84ea3a6305baa6446e3bc518cd943455a8ad93bc847a23b378d5c1e88","last_reissued_at":"2026-05-18T00:34:32.764066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:32.764066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Long Term Fr\\'echet distribution: Estimation, Properties and its Application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Diego Nascimento, Francisco Louzada, Pedro Luiz Ramos","submitted_at":"2017-09-22T05:05:22Z","abstract_excerpt":"In this paper a new long-term survival distribution is proposed. The so called long term Fr\\'echet distribution allows us to fit data where a part of the population is not susceptible to the event of interest. This model may be used, for example, in clinical studies where a portion of the population can be cured during a treatment. It is shown an account of mathematical properties of the new distribution such as its moments and survival properties. As well is presented the maximum likelihood estimators (MLEs) for the parameters. A numerical simulation is carried out in order to verify the perf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07593","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":"1709.07593","created_at":"2026-05-18T00:34:32.764127+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.07593v1","created_at":"2026-05-18T00:34:32.764127+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07593","created_at":"2026-05-18T00:34:32.764127+00:00"},{"alias_kind":"pith_short_12","alias_value":"XMYQ36COUOTD","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XMYQ36COUOTDAW5K","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XMYQ36CO","created_at":"2026-05-18T12:31:56.362134+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/XMYQ36COUOTDAW5KMRDOHPCRRT","json":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT.json","graph_json":"https://pith.science/api/pith-number/XMYQ36COUOTDAW5KMRDOHPCRRT/graph.json","events_json":"https://pith.science/api/pith-number/XMYQ36COUOTDAW5KMRDOHPCRRT/events.json","paper":"https://pith.science/paper/XMYQ36CO"},"agent_actions":{"view_html":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT","download_json":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT.json","view_paper":"https://pith.science/paper/XMYQ36CO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.07593&json=true","fetch_graph":"https://pith.science/api/pith-number/XMYQ36COUOTDAW5KMRDOHPCRRT/graph.json","fetch_events":"https://pith.science/api/pith-number/XMYQ36COUOTDAW5KMRDOHPCRRT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT/action/storage_attestation","attest_author":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT/action/author_attestation","sign_citation":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT/action/citation_signature","submit_replication":"https://pith.science/pith/XMYQ36COUOTDAW5KMRDOHPCRRT/action/replication_record"}},"created_at":"2026-05-18T00:34:32.764127+00:00","updated_at":"2026-05-18T00:34:32.764127+00:00"}