{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JKOAMG6IUQXWONBUEXWTNJDQZK","short_pith_number":"pith:JKOAMG6I","schema_version":"1.0","canonical_sha256":"4a9c061bc8a42f67343425ed36a470caa1f430c229487e466db99e23552ac3b5","source":{"kind":"arxiv","id":"1411.4281","version":2},"attestation_state":"computed","paper":{"title":"An Improved Hazard Rate Twisting Approach for the Statistic of the Sum of Subexponential Variates (Extended Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.ST","stat.TH"],"primary_cat":"cs.IT","authors_text":"Abla Kammoun, Mohamed-Slim Alouini, Nadhir Ben Rached, Raul Tempone","submitted_at":"2014-11-16T17:26:37Z","abstract_excerpt":"In this letter, we present an improved hazard rate twisting technique for the estimation of the probability that a sum of independent but not necessarily identically distributed subexponential Random Variables (RVs) exceeds a given threshold. Instead of twisting all the components in the summation, we propose to twist only the RVs which have the biggest impact on the right-tail of the sum distribution and keep the other RVs unchanged. A minmax approach is performed to determine the optimal twisting parameter which leads to an asymptotic optimality criterion. Moreover, we show through some sele"},"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":"1411.4281","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-11-16T17:26:37Z","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"title_canon_sha256":"bdf6983ba19d68cf2d23300a269551830c3f9d6a605015aa5ec47c387b9d6f49","abstract_canon_sha256":"f496f76bd09e5c8415b2129f25b66b0708030adff4b9f60b56f24e90622c5e94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:16.518304Z","signature_b64":"8jhpNCBMK1UdtGShGGKZkl6PB9T0ZTuNSO+Lt52+mFxIYMy9FcKmB0g95ewbh2rmXoxWAvjex9mx4agdb1a9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a9c061bc8a42f67343425ed36a470caa1f430c229487e466db99e23552ac3b5","last_reissued_at":"2026-05-18T02:19:16.517739Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:16.517739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Improved Hazard Rate Twisting Approach for the Statistic of the Sum of Subexponential Variates (Extended Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.ST","stat.TH"],"primary_cat":"cs.IT","authors_text":"Abla Kammoun, Mohamed-Slim Alouini, Nadhir Ben Rached, Raul Tempone","submitted_at":"2014-11-16T17:26:37Z","abstract_excerpt":"In this letter, we present an improved hazard rate twisting technique for the estimation of the probability that a sum of independent but not necessarily identically distributed subexponential Random Variables (RVs) exceeds a given threshold. Instead of twisting all the components in the summation, we propose to twist only the RVs which have the biggest impact on the right-tail of the sum distribution and keep the other RVs unchanged. A minmax approach is performed to determine the optimal twisting parameter which leads to an asymptotic optimality criterion. Moreover, we show through some sele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4281","kind":"arxiv","version":2},"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":"1411.4281","created_at":"2026-05-18T02:19:16.517820+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.4281v2","created_at":"2026-05-18T02:19:16.517820+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4281","created_at":"2026-05-18T02:19:16.517820+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKOAMG6IUQXW","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKOAMG6IUQXWONBU","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKOAMG6I","created_at":"2026-05-18T12:28:33.132498+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/JKOAMG6IUQXWONBUEXWTNJDQZK","json":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK.json","graph_json":"https://pith.science/api/pith-number/JKOAMG6IUQXWONBUEXWTNJDQZK/graph.json","events_json":"https://pith.science/api/pith-number/JKOAMG6IUQXWONBUEXWTNJDQZK/events.json","paper":"https://pith.science/paper/JKOAMG6I"},"agent_actions":{"view_html":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK","download_json":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK.json","view_paper":"https://pith.science/paper/JKOAMG6I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.4281&json=true","fetch_graph":"https://pith.science/api/pith-number/JKOAMG6IUQXWONBUEXWTNJDQZK/graph.json","fetch_events":"https://pith.science/api/pith-number/JKOAMG6IUQXWONBUEXWTNJDQZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK/action/storage_attestation","attest_author":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK/action/author_attestation","sign_citation":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK/action/citation_signature","submit_replication":"https://pith.science/pith/JKOAMG6IUQXWONBUEXWTNJDQZK/action/replication_record"}},"created_at":"2026-05-18T02:19:16.517820+00:00","updated_at":"2026-05-18T02:19:16.517820+00:00"}