{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2RGRUURQHLXSHBU7DVU5K37DII","short_pith_number":"pith:2RGRUURQ","schema_version":"1.0","canonical_sha256":"d44d1a52303aef23869f1d69d56fe3420a567865ef0f160d5434ba3f5a5555da","source":{"kind":"arxiv","id":"1804.02254","version":1},"attestation_state":"computed","paper":{"title":"On the sample autocovariance of a L\\'evy driven moving average process when sampled at a renewal sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Dirk-Philip Brandes, Imma Valentina Curato","submitted_at":"2018-04-06T13:28:57Z","abstract_excerpt":"We consider a L\\'evy driven continuous time moving average process $X$ sampled at random times which follow a renewal structure independent of $X$. Asymptotic normality of the sample mean, the sample autocovariance, and the sample autocorrelation is established under certain conditions on the kernel and the random times. We compare our results to a classical non-random equidistant sampling method and give an application to parameter estimation of the L\\'evy driven Ornstein-Uhlenbeck process."},"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":"1804.02254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-04-06T13:28:57Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"5e032630a2029eb10ee0e0ff7449cee7c0079fd032e4de610a9943145d429bca","abstract_canon_sha256":"e7d4c017e0f2186d61f7218cdd4baff0fed1ad4eea9f7ae5244da4a77bd503e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:05.408401Z","signature_b64":"vMXbFauYgV7TP7D/qLonEj2dUrzuTbIXuEZzUU89E4RLVONKpvGiQ5/KGSya0iZQkfNZHAYogfxNcU8J5U0EBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d44d1a52303aef23869f1d69d56fe3420a567865ef0f160d5434ba3f5a5555da","last_reissued_at":"2026-05-18T00:19:05.407887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:05.407887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the sample autocovariance of a L\\'evy driven moving average process when sampled at a renewal sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Dirk-Philip Brandes, Imma Valentina Curato","submitted_at":"2018-04-06T13:28:57Z","abstract_excerpt":"We consider a L\\'evy driven continuous time moving average process $X$ sampled at random times which follow a renewal structure independent of $X$. Asymptotic normality of the sample mean, the sample autocovariance, and the sample autocorrelation is established under certain conditions on the kernel and the random times. We compare our results to a classical non-random equidistant sampling method and give an application to parameter estimation of the L\\'evy driven Ornstein-Uhlenbeck process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02254","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":"1804.02254","created_at":"2026-05-18T00:19:05.407970+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.02254v1","created_at":"2026-05-18T00:19:05.407970+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02254","created_at":"2026-05-18T00:19:05.407970+00:00"},{"alias_kind":"pith_short_12","alias_value":"2RGRUURQHLXS","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"2RGRUURQHLXSHBU7","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"2RGRUURQ","created_at":"2026-05-18T12:32:02.567920+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/2RGRUURQHLXSHBU7DVU5K37DII","json":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII.json","graph_json":"https://pith.science/api/pith-number/2RGRUURQHLXSHBU7DVU5K37DII/graph.json","events_json":"https://pith.science/api/pith-number/2RGRUURQHLXSHBU7DVU5K37DII/events.json","paper":"https://pith.science/paper/2RGRUURQ"},"agent_actions":{"view_html":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII","download_json":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII.json","view_paper":"https://pith.science/paper/2RGRUURQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.02254&json=true","fetch_graph":"https://pith.science/api/pith-number/2RGRUURQHLXSHBU7DVU5K37DII/graph.json","fetch_events":"https://pith.science/api/pith-number/2RGRUURQHLXSHBU7DVU5K37DII/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII/action/storage_attestation","attest_author":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII/action/author_attestation","sign_citation":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII/action/citation_signature","submit_replication":"https://pith.science/pith/2RGRUURQHLXSHBU7DVU5K37DII/action/replication_record"}},"created_at":"2026-05-18T00:19:05.407970+00:00","updated_at":"2026-05-18T00:19:05.407970+00:00"}