{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FXNJL52XANTX5OOIC2MMETX24U","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"057409008021e9b1d6cfbf145d71bf3738e2a94004d0668ebf571453c64f2754","cross_cats_sorted":["stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-09-05T17:29:33Z","title_canon_sha256":"e4e42fb42d1ed1f988e8606e561e190c3453cfec97807a62d175ded9f8308982"},"schema_version":"1.0","source":{"id":"1309.1412","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1412","created_at":"2026-05-18T03:14:07Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1412v1","created_at":"2026-05-18T03:14:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1412","created_at":"2026-05-18T03:14:07Z"},{"alias_kind":"pith_short_12","alias_value":"FXNJL52XANTX","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXNJL52XANTX5OOI","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXNJL52X","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:dbc843aca0fdd5f8fb64a22ce2a7e51a131b6d12d60cee195384250b2ee1aeae","target":"graph","created_at":"2026-05-18T03:14:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A multivariate distribution function F is in the max-domain of attraction of an extreme value distribution if and only if this is true for the copula corresponding to F and its univariate margins. Aulbach et al. (2012a) have shown that a copula satisfies the extreme value condition if and only if the copula is tail equivalent to a generalized Pareto copula (GPC). In this paper we propose a chi-square goodness-of-fit test in arbitrary dimension for testing whether a copula is in a certain neighborhood of a GPC. The test can be applied to stochastic processes as well to check whether the corresp","authors_text":"Michael Falk, Stefan Aulbach","cross_cats":["stat.AP","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-09-05T17:29:33Z","title":"Testing for a {\\delta}-neighborhood of a generalized Pareto copula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1412","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:453ff3893bc3446f548200b88ef85419f60d3e0b97dc7df80ebba9262320c842","target":"record","created_at":"2026-05-18T03:14:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"057409008021e9b1d6cfbf145d71bf3738e2a94004d0668ebf571453c64f2754","cross_cats_sorted":["stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-09-05T17:29:33Z","title_canon_sha256":"e4e42fb42d1ed1f988e8606e561e190c3453cfec97807a62d175ded9f8308982"},"schema_version":"1.0","source":{"id":"1309.1412","kind":"arxiv","version":1}},"canonical_sha256":"2dda95f75703677eb9c81698c24efae53921b563fe8abb8ba6da4be6b67ac7e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dda95f75703677eb9c81698c24efae53921b563fe8abb8ba6da4be6b67ac7e2","first_computed_at":"2026-05-18T03:14:07.367417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:07.367417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWCgY/yHEO1y+BqZ+mH5Kv+a7LiYuL35Ar8dHe28+rgk8koen31nVCEwIvWTcWnJ1AQmxrS6sl6GkoZ6UN7UCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:07.368003Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1412","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:453ff3893bc3446f548200b88ef85419f60d3e0b97dc7df80ebba9262320c842","sha256:dbc843aca0fdd5f8fb64a22ce2a7e51a131b6d12d60cee195384250b2ee1aeae"],"state_sha256":"6ffcd82847f541ab57b4ac80934d7d7a9bfacc48e6d40f7f61e49c15a880eb25"}