{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UKWKUADASGX4GP3XEHGC5MX7LX","short_pith_number":"pith:UKWKUADA","schema_version":"1.0","canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","source":{"kind":"arxiv","id":"1901.05547","version":1},"attestation_state":"computed","paper":{"title":"Nonparametric estimation for fractional diffusion processes with random effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"C. Fuchs, H. El Maroufy, M. El Omari","submitted_at":"2019-01-16T22:17:14Z","abstract_excerpt":"We propose a nonparametric estimation for a class of fractional stochastic differential equations (FSDE) with random effects. We precisely consider general linear fractional stochastic differential equations with drift depending on random effects and non-random diffusion. We build ordinary kernel estimators and histogram estimators and study their Lp-risk (p =1 or 2), when H>1/2. Asymptotic results are evaluated as both T = T(N) and N tend to infinity."},"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":"1901.05547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-16T22:17:14Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7ee262340e99563796a8784294b52fefd6eb91a953a2c1a48abcee56b479f86a","abstract_canon_sha256":"84bfc636d15dff19fecf15e44531e314a8300b998fe3515f928d6a9c2167d7b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:06.833830Z","signature_b64":"wIsdX6CBM85fQIEe0ofN89lmBRYw/NqDRY23nifz7Yrymf4p4XWznGwrTnDbQgEPCgLoDRslaNdGgxZ6xURSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","last_reissued_at":"2026-05-17T23:56:06.833208Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:06.833208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonparametric estimation for fractional diffusion processes with random effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"C. Fuchs, H. El Maroufy, M. El Omari","submitted_at":"2019-01-16T22:17:14Z","abstract_excerpt":"We propose a nonparametric estimation for a class of fractional stochastic differential equations (FSDE) with random effects. We precisely consider general linear fractional stochastic differential equations with drift depending on random effects and non-random diffusion. We build ordinary kernel estimators and histogram estimators and study their Lp-risk (p =1 or 2), when H>1/2. Asymptotic results are evaluated as both T = T(N) and N tend to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05547","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":"1901.05547","created_at":"2026-05-17T23:56:06.833331+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.05547v1","created_at":"2026-05-17T23:56:06.833331+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05547","created_at":"2026-05-17T23:56:06.833331+00:00"},{"alias_kind":"pith_short_12","alias_value":"UKWKUADASGX4","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"UKWKUADASGX4GP3X","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"UKWKUADA","created_at":"2026-05-18T12:33:30.264802+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/UKWKUADASGX4GP3XEHGC5MX7LX","json":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX.json","graph_json":"https://pith.science/api/pith-number/UKWKUADASGX4GP3XEHGC5MX7LX/graph.json","events_json":"https://pith.science/api/pith-number/UKWKUADASGX4GP3XEHGC5MX7LX/events.json","paper":"https://pith.science/paper/UKWKUADA"},"agent_actions":{"view_html":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX","download_json":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX.json","view_paper":"https://pith.science/paper/UKWKUADA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.05547&json=true","fetch_graph":"https://pith.science/api/pith-number/UKWKUADASGX4GP3XEHGC5MX7LX/graph.json","fetch_events":"https://pith.science/api/pith-number/UKWKUADASGX4GP3XEHGC5MX7LX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/action/storage_attestation","attest_author":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/action/author_attestation","sign_citation":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/action/citation_signature","submit_replication":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/action/replication_record"}},"created_at":"2026-05-17T23:56:06.833331+00:00","updated_at":"2026-05-17T23:56:06.833331+00:00"}