{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5GOX4BLTEJ3MQTWC2YPYEFBGOD","short_pith_number":"pith:5GOX4BLT","schema_version":"1.0","canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","source":{"kind":"arxiv","id":"1402.5282","version":1},"attestation_state":"computed","paper":{"title":"The Compound Class of Linear Failure Rate-Power Series Distributions: Model, Properties and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.CO","authors_text":"Ali Akbar Jafari, Eisa Mahmoudi","submitted_at":"2014-02-21T12:44:37Z","abstract_excerpt":"We introduce in this paper a new class of distributions which generalizes the linear failure rate (LFR) distribution and is obtained by compounding the LFR distribution and power series (PS) class of distributions. This new class of distributions is called the linear failure rate-power series (LFRPS) distributions and contains some new distributions such as linear failure rate geometric (LFRG) distribution, linear failure rate Poisson (LFRP) distribution, linear failure rate logarithmic (LFRL) distribution, linear failure rate binomial (LFRB) distribution and Raylight-power series (RPS) class "},"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":"1402.5282","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-02-21T12:44:37Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"0e5e966e85fba0d4b0f92259172ba2b8571936fbd939f2052b451135b3e2638a","abstract_canon_sha256":"cf12c2f87c12be7a9a7d2cddcbe377ebccdbe964394f740e16ee7256ff0f164d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:22.654690Z","signature_b64":"IBh0ZnZbh/D3x5Cy1+jMwtafvUWvKUFf1PwfowlZ08fSF+QZLZw4J3m+tKm9VwUAhTSlmOLajzbtohAiq3aPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e99d7e05732276c84ec2d61f82142670d7eea40242fbbb65ee32cccc97f72cc5","last_reissued_at":"2026-05-18T02:58:22.654197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:22.654197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Compound Class of Linear Failure Rate-Power Series Distributions: Model, Properties and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.CO","authors_text":"Ali Akbar Jafari, Eisa Mahmoudi","submitted_at":"2014-02-21T12:44:37Z","abstract_excerpt":"We introduce in this paper a new class of distributions which generalizes the linear failure rate (LFR) distribution and is obtained by compounding the LFR distribution and power series (PS) class of distributions. This new class of distributions is called the linear failure rate-power series (LFRPS) distributions and contains some new distributions such as linear failure rate geometric (LFRG) distribution, linear failure rate Poisson (LFRP) distribution, linear failure rate logarithmic (LFRL) distribution, linear failure rate binomial (LFRB) distribution and Raylight-power series (RPS) class "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5282","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":"1402.5282","created_at":"2026-05-18T02:58:22.654269+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.5282v1","created_at":"2026-05-18T02:58:22.654269+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5282","created_at":"2026-05-18T02:58:22.654269+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GOX4BLTEJ3M","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GOX4BLTEJ3MQTWC","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GOX4BLT","created_at":"2026-05-18T12:28:14.216126+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/5GOX4BLTEJ3MQTWC2YPYEFBGOD","json":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD.json","graph_json":"https://pith.science/api/pith-number/5GOX4BLTEJ3MQTWC2YPYEFBGOD/graph.json","events_json":"https://pith.science/api/pith-number/5GOX4BLTEJ3MQTWC2YPYEFBGOD/events.json","paper":"https://pith.science/paper/5GOX4BLT"},"agent_actions":{"view_html":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD","download_json":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD.json","view_paper":"https://pith.science/paper/5GOX4BLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.5282&json=true","fetch_graph":"https://pith.science/api/pith-number/5GOX4BLTEJ3MQTWC2YPYEFBGOD/graph.json","fetch_events":"https://pith.science/api/pith-number/5GOX4BLTEJ3MQTWC2YPYEFBGOD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/action/storage_attestation","attest_author":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/action/author_attestation","sign_citation":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/action/citation_signature","submit_replication":"https://pith.science/pith/5GOX4BLTEJ3MQTWC2YPYEFBGOD/action/replication_record"}},"created_at":"2026-05-18T02:58:22.654269+00:00","updated_at":"2026-05-18T02:58:22.654269+00:00"}