{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:T7BPA6HUUIJFYFCRXZ3GI6NBRC","short_pith_number":"pith:T7BPA6HU","schema_version":"1.0","canonical_sha256":"9fc2f078f4a2125c1451be766479a188a8012d5390cae95e599ecfa405207e89","source":{"kind":"arxiv","id":"1407.1991","version":1},"attestation_state":"computed","paper":{"title":"Rate of uniform consistency for a class of mode regression on functional stationary ergodic data. Application to electricity consumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Djamal Louani, Mohamed Chaouch, Naamane Laib","submitted_at":"2014-07-08T08:35:31Z","abstract_excerpt":"The aim of this paper is to study the asymptotic properties of a class of kernel conditional mode estimates whenever functional stationary ergodic data are considered. To be more precise on the matter, in the ergodic data setting, we consider a random element $(X, Z)$ taking values in some semi-metric abstract space $E\\times F$. For a real function $\\varphi$ defined on the space $F$ and $x\\in E$, we consider the conditional mode of the real random variable $\\varphi(Z)$ given the event $``X=x\"$. While estimating the conditional mode function, say $\\theta_\\varphi(x)$, using the well-known kernel"},"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":"1407.1991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-07-08T08:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"852c93e89012940418410a8d05de662d41d5fb34b064b052e7b2bfda853defcd","abstract_canon_sha256":"5aafed43522c130cb54b342c56714ed56412264a467f365e24e25b19119d0abc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:08.711332Z","signature_b64":"aajkd5k1TdamBtQZVeWr5eZMTth1zWq+4+jdXA4CiqrQQtcavYmTV1XMBRF5LOJFqO8oRz4Wx+IAn7TScQqfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fc2f078f4a2125c1451be766479a188a8012d5390cae95e599ecfa405207e89","last_reissued_at":"2026-05-18T02:48:08.710793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:08.710793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rate of uniform consistency for a class of mode regression on functional stationary ergodic data. Application to electricity consumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Djamal Louani, Mohamed Chaouch, Naamane Laib","submitted_at":"2014-07-08T08:35:31Z","abstract_excerpt":"The aim of this paper is to study the asymptotic properties of a class of kernel conditional mode estimates whenever functional stationary ergodic data are considered. To be more precise on the matter, in the ergodic data setting, we consider a random element $(X, Z)$ taking values in some semi-metric abstract space $E\\times F$. For a real function $\\varphi$ defined on the space $F$ and $x\\in E$, we consider the conditional mode of the real random variable $\\varphi(Z)$ given the event $``X=x\"$. While estimating the conditional mode function, say $\\theta_\\varphi(x)$, using the well-known kernel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1991","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":"1407.1991","created_at":"2026-05-18T02:48:08.710879+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1991v1","created_at":"2026-05-18T02:48:08.710879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1991","created_at":"2026-05-18T02:48:08.710879+00:00"},{"alias_kind":"pith_short_12","alias_value":"T7BPA6HUUIJF","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"T7BPA6HUUIJFYFCR","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"T7BPA6HU","created_at":"2026-05-18T12:28:49.207871+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/T7BPA6HUUIJFYFCRXZ3GI6NBRC","json":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC.json","graph_json":"https://pith.science/api/pith-number/T7BPA6HUUIJFYFCRXZ3GI6NBRC/graph.json","events_json":"https://pith.science/api/pith-number/T7BPA6HUUIJFYFCRXZ3GI6NBRC/events.json","paper":"https://pith.science/paper/T7BPA6HU"},"agent_actions":{"view_html":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC","download_json":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC.json","view_paper":"https://pith.science/paper/T7BPA6HU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1991&json=true","fetch_graph":"https://pith.science/api/pith-number/T7BPA6HUUIJFYFCRXZ3GI6NBRC/graph.json","fetch_events":"https://pith.science/api/pith-number/T7BPA6HUUIJFYFCRXZ3GI6NBRC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC/action/storage_attestation","attest_author":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC/action/author_attestation","sign_citation":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC/action/citation_signature","submit_replication":"https://pith.science/pith/T7BPA6HUUIJFYFCRXZ3GI6NBRC/action/replication_record"}},"created_at":"2026-05-18T02:48:08.710879+00:00","updated_at":"2026-05-18T02:48:08.710879+00:00"}