{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CRNTGZ577FJR5QTJFY6CE7TCXK","short_pith_number":"pith:CRNTGZ57","schema_version":"1.0","canonical_sha256":"145b3367bff9531ec2692e3c227e62ba8560c0024b6bc05eed1e5ccc26abe50b","source":{"kind":"arxiv","id":"1709.02223","version":2},"attestation_state":"computed","paper":{"title":"Discrete-Time Statistical Inference for Multiscale Diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.AP","stat.ME","stat.TH"],"primary_cat":"math.PR","authors_text":"Konstantinos Spiliopoulos, Siragan Gailus","submitted_at":"2017-09-07T13:12:20Z","abstract_excerpt":"We study statistical inference for small-noise-perturbed multiscale dynamical systems under the assumption that we observe a single time series from the slow process only. We construct estimators for both averaging and homogenization regimes, based on an appropriate misspecified model motivated by a second-order stochastic Taylor expansion of the slow process with respect to a function of the time-scale separation parameter. In the case of a fixed number of observations, we establish consistency, asymptotic normality, and asymptotic statistical efficiency of a minimum contrast estimator (MCE),"},"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":"1709.02223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-09-07T13:12:20Z","cross_cats_sorted":["math.ST","stat.AP","stat.ME","stat.TH"],"title_canon_sha256":"3986d5f6bca656566cb70d41258439ecab63d3762ccdaed36f3f8533f1ece4b4","abstract_canon_sha256":"c326620a4f3df6827fa769d2e882d40b1f91bd0dbd15386b6d49c3a9b8e2e8ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:56.621123Z","signature_b64":"q+QD/6p62jfrIMARgPcTqjLxSr9/Ogn5yz1DJ24GDS1f7tyLTfL81Phy7n02kc9XPpGCGLf6Ksz0nEuXfaKeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"145b3367bff9531ec2692e3c227e62ba8560c0024b6bc05eed1e5ccc26abe50b","last_reissued_at":"2026-05-18T00:05:56.620672Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:56.620672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discrete-Time Statistical Inference for Multiscale Diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.AP","stat.ME","stat.TH"],"primary_cat":"math.PR","authors_text":"Konstantinos Spiliopoulos, Siragan Gailus","submitted_at":"2017-09-07T13:12:20Z","abstract_excerpt":"We study statistical inference for small-noise-perturbed multiscale dynamical systems under the assumption that we observe a single time series from the slow process only. We construct estimators for both averaging and homogenization regimes, based on an appropriate misspecified model motivated by a second-order stochastic Taylor expansion of the slow process with respect to a function of the time-scale separation parameter. In the case of a fixed number of observations, we establish consistency, asymptotic normality, and asymptotic statistical efficiency of a minimum contrast estimator (MCE),"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02223","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":"1709.02223","created_at":"2026-05-18T00:05:56.620740+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.02223v2","created_at":"2026-05-18T00:05:56.620740+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.02223","created_at":"2026-05-18T00:05:56.620740+00:00"},{"alias_kind":"pith_short_12","alias_value":"CRNTGZ577FJR","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CRNTGZ577FJR5QTJ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CRNTGZ57","created_at":"2026-05-18T12:31:10.602751+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/CRNTGZ577FJR5QTJFY6CE7TCXK","json":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK.json","graph_json":"https://pith.science/api/pith-number/CRNTGZ577FJR5QTJFY6CE7TCXK/graph.json","events_json":"https://pith.science/api/pith-number/CRNTGZ577FJR5QTJFY6CE7TCXK/events.json","paper":"https://pith.science/paper/CRNTGZ57"},"agent_actions":{"view_html":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK","download_json":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK.json","view_paper":"https://pith.science/paper/CRNTGZ57","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.02223&json=true","fetch_graph":"https://pith.science/api/pith-number/CRNTGZ577FJR5QTJFY6CE7TCXK/graph.json","fetch_events":"https://pith.science/api/pith-number/CRNTGZ577FJR5QTJFY6CE7TCXK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK/action/storage_attestation","attest_author":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK/action/author_attestation","sign_citation":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK/action/citation_signature","submit_replication":"https://pith.science/pith/CRNTGZ577FJR5QTJFY6CE7TCXK/action/replication_record"}},"created_at":"2026-05-18T00:05:56.620740+00:00","updated_at":"2026-05-18T00:05:56.620740+00:00"}