{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MMIQSFJT3CCYTYV4JK7WKLAE2B","short_pith_number":"pith:MMIQSFJT","schema_version":"1.0","canonical_sha256":"6311091533d88589e2bc4abf652c04d07a5b204248192bc4449933cbd95279b7","source":{"kind":"arxiv","id":"1107.0540","version":1},"attestation_state":"computed","paper":{"title":"Expectiles for subordinated Gaussian processes with applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Hedi Kortas, Jean-Fran\\c{c}ois Coeurjolly (GIPSA-lab, LJK)","submitted_at":"2011-07-04T06:19:55Z","abstract_excerpt":"In this paper, we introduce a new class of estimators of the Hurst exponent of the fractional Brownian motion (fBm) process. These estimators are based on sample expectiles of discrete variations of a sample path of the fBm process. In order to derive the statistical properties of the proposed estimators, we establish asymptotic results for sample expectiles of subordinated stationary Gaussian processes with unit variance and correlation function satisfying $\\rho(i)\\sim \\kappa|i|^{-\\alpha}$ ($\\kappa\\in \\RR$) with $\\alpha>0$. Via a simulation study, we demonstrate the relevance of the expectile"},"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":"1107.0540","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-07-04T06:19:55Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"9517a677acb0d531fa60aac2150c76406263f2e7914a475a7402d1aaf357d516","abstract_canon_sha256":"2595b470c1928342845145406095a6d390c14a65cdacfe3d28ae22594be152fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:52.790243Z","signature_b64":"vhapl72eGFc37i4G41vTNZYDWZ8XuD4M4zkmbzy3nTrw+kKJeBZ1oMdAPp57L+w3UDdG9Yy+QE6xsBh5m0riBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6311091533d88589e2bc4abf652c04d07a5b204248192bc4449933cbd95279b7","last_reissued_at":"2026-05-18T04:18:52.789811Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:52.789811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Expectiles for subordinated Gaussian processes with applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Hedi Kortas, Jean-Fran\\c{c}ois Coeurjolly (GIPSA-lab, LJK)","submitted_at":"2011-07-04T06:19:55Z","abstract_excerpt":"In this paper, we introduce a new class of estimators of the Hurst exponent of the fractional Brownian motion (fBm) process. These estimators are based on sample expectiles of discrete variations of a sample path of the fBm process. In order to derive the statistical properties of the proposed estimators, we establish asymptotic results for sample expectiles of subordinated stationary Gaussian processes with unit variance and correlation function satisfying $\\rho(i)\\sim \\kappa|i|^{-\\alpha}$ ($\\kappa\\in \\RR$) with $\\alpha>0$. Via a simulation study, we demonstrate the relevance of the expectile"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0540","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":"1107.0540","created_at":"2026-05-18T04:18:52.789874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.0540v1","created_at":"2026-05-18T04:18:52.789874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0540","created_at":"2026-05-18T04:18:52.789874+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMIQSFJT3CCY","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMIQSFJT3CCYTYV4","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMIQSFJT","created_at":"2026-05-18T12:26:34.985390+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/MMIQSFJT3CCYTYV4JK7WKLAE2B","json":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B.json","graph_json":"https://pith.science/api/pith-number/MMIQSFJT3CCYTYV4JK7WKLAE2B/graph.json","events_json":"https://pith.science/api/pith-number/MMIQSFJT3CCYTYV4JK7WKLAE2B/events.json","paper":"https://pith.science/paper/MMIQSFJT"},"agent_actions":{"view_html":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B","download_json":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B.json","view_paper":"https://pith.science/paper/MMIQSFJT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.0540&json=true","fetch_graph":"https://pith.science/api/pith-number/MMIQSFJT3CCYTYV4JK7WKLAE2B/graph.json","fetch_events":"https://pith.science/api/pith-number/MMIQSFJT3CCYTYV4JK7WKLAE2B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B/action/storage_attestation","attest_author":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B/action/author_attestation","sign_citation":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B/action/citation_signature","submit_replication":"https://pith.science/pith/MMIQSFJT3CCYTYV4JK7WKLAE2B/action/replication_record"}},"created_at":"2026-05-18T04:18:52.789874+00:00","updated_at":"2026-05-18T04:18:52.789874+00:00"}