{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:TQHJU45LX2YIRNMMM7VGDLYLRX","short_pith_number":"pith:TQHJU45L","schema_version":"1.0","canonical_sha256":"9c0e9a73abbeb088b58c67ea61af0b8dd6f477b2f7aeef98e68381ddfcb4759a","source":{"kind":"arxiv","id":"1201.6611","version":1},"attestation_state":"computed","paper":{"title":"Testing for a generalized Pareto process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Michael Falk, Stefan Aulbach","submitted_at":"2012-01-31T16:48:42Z","abstract_excerpt":"We investigate two models for the following setup: We consider a stochastic process X \\in C[0,1] whose distribution belongs to a parametric family indexed by \\vartheta \\in {\\Theta} \\subset R. In case \\vartheta = 0, X is a generalized Pareto process. Based on n independent copies X(1),...,X(n) of X, we establish local asymptotic normality (LAN) of the point process of exceedances among X(1),...,X(n) above an increasing threshold line in each model.\n  The corresponding central sequences provide asymptotically optimal sequences of tests for testing H0 : \\vartheta = 0 against a sequence of alterna"},"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":"1201.6611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-31T16:48:42Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"94333042dace14b807658b34932dfce870d64680489b7555aa28be14f0b936e8","abstract_canon_sha256":"7107c98de035b470bfd41b556a9473d6afe4de10423b3c384d62ba48eba2f0f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:02.474550Z","signature_b64":"3Gr4U8qCZEJs+2Hn8GMRSgdO9W+PvOab7d/G8a+u2AFY8q9PDIfPSFIfRwSUShOq9Smm+qxkPT+FePOKf/9MCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c0e9a73abbeb088b58c67ea61af0b8dd6f477b2f7aeef98e68381ddfcb4759a","last_reissued_at":"2026-05-18T03:41:02.474034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:02.474034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Testing for a generalized Pareto process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Michael Falk, Stefan Aulbach","submitted_at":"2012-01-31T16:48:42Z","abstract_excerpt":"We investigate two models for the following setup: We consider a stochastic process X \\in C[0,1] whose distribution belongs to a parametric family indexed by \\vartheta \\in {\\Theta} \\subset R. In case \\vartheta = 0, X is a generalized Pareto process. Based on n independent copies X(1),...,X(n) of X, we establish local asymptotic normality (LAN) of the point process of exceedances among X(1),...,X(n) above an increasing threshold line in each model.\n  The corresponding central sequences provide asymptotically optimal sequences of tests for testing H0 : \\vartheta = 0 against a sequence of alterna"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6611","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":"1201.6611","created_at":"2026-05-18T03:41:02.474110+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.6611v1","created_at":"2026-05-18T03:41:02.474110+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6611","created_at":"2026-05-18T03:41:02.474110+00:00"},{"alias_kind":"pith_short_12","alias_value":"TQHJU45LX2YI","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"TQHJU45LX2YIRNMM","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"TQHJU45L","created_at":"2026-05-18T12:27:23.164592+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/TQHJU45LX2YIRNMMM7VGDLYLRX","json":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX.json","graph_json":"https://pith.science/api/pith-number/TQHJU45LX2YIRNMMM7VGDLYLRX/graph.json","events_json":"https://pith.science/api/pith-number/TQHJU45LX2YIRNMMM7VGDLYLRX/events.json","paper":"https://pith.science/paper/TQHJU45L"},"agent_actions":{"view_html":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX","download_json":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX.json","view_paper":"https://pith.science/paper/TQHJU45L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.6611&json=true","fetch_graph":"https://pith.science/api/pith-number/TQHJU45LX2YIRNMMM7VGDLYLRX/graph.json","fetch_events":"https://pith.science/api/pith-number/TQHJU45LX2YIRNMMM7VGDLYLRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX/action/storage_attestation","attest_author":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX/action/author_attestation","sign_citation":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX/action/citation_signature","submit_replication":"https://pith.science/pith/TQHJU45LX2YIRNMMM7VGDLYLRX/action/replication_record"}},"created_at":"2026-05-18T03:41:02.474110+00:00","updated_at":"2026-05-18T03:41:02.474110+00:00"}