{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:INWQZGF36WXGGOIF5HIYLRLMTC","short_pith_number":"pith:INWQZGF3","schema_version":"1.0","canonical_sha256":"436d0c98bbf5ae633905e9d185c56c98a683291822ba6e8b11265ab8e0b09a66","source":{"kind":"arxiv","id":"1307.6677","version":1},"attestation_state":"computed","paper":{"title":"Large deviations for solutions to stochastic recurrence equations under Kesten's condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"D. Buraczewski, E. Damek, J. Zienkiewicz, T. Mikosch","submitted_at":"2013-07-25T09:18:38Z","abstract_excerpt":"In this paper we prove large deviations results for partial sums constructed from the solution to a stochastic recurrence equation. We assume Kesten's condition [Acta Math. 131 (1973) 207-248] under which the solution of the stochastic recurrence equation has a marginal distribution with power law tails, while the noise sequence of the equations can have light tails. The results of the paper are analogs to those obtained by A. V. Nagaev [Theory Probab. Appl. 14 (1969) 51-64; 193-208] and S. V. Nagaev [Ann. Probab. 7 (1979) 745-789] in the case of partial sums of i.i.d. random variables. In the"},"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":"1307.6677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-25T09:18:38Z","cross_cats_sorted":[],"title_canon_sha256":"9f2ae65bb6448b698ec62a8401b6153ac5a8bd0920e9dc771e1c77c9da67a5f7","abstract_canon_sha256":"48f5be9c6a86d5594c040e14e775e136f6e6f4c3a03b826bc69471080726da8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:35.020817Z","signature_b64":"UlB37UQ3hkHo0SZMs9J7ksQZc8V8wGbnirXBUJqFigTN3W4eM/7qbqYsDhhFwijpAOqgnVQXUdaOEvKHx4YpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"436d0c98bbf5ae633905e9d185c56c98a683291822ba6e8b11265ab8e0b09a66","last_reissued_at":"2026-05-18T03:17:35.020122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:35.020122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations for solutions to stochastic recurrence equations under Kesten's condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"D. Buraczewski, E. Damek, J. Zienkiewicz, T. Mikosch","submitted_at":"2013-07-25T09:18:38Z","abstract_excerpt":"In this paper we prove large deviations results for partial sums constructed from the solution to a stochastic recurrence equation. We assume Kesten's condition [Acta Math. 131 (1973) 207-248] under which the solution of the stochastic recurrence equation has a marginal distribution with power law tails, while the noise sequence of the equations can have light tails. The results of the paper are analogs to those obtained by A. V. Nagaev [Theory Probab. Appl. 14 (1969) 51-64; 193-208] and S. V. Nagaev [Ann. Probab. 7 (1979) 745-789] in the case of partial sums of i.i.d. random variables. In the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6677","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":"1307.6677","created_at":"2026-05-18T03:17:35.020226+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.6677v1","created_at":"2026-05-18T03:17:35.020226+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6677","created_at":"2026-05-18T03:17:35.020226+00:00"},{"alias_kind":"pith_short_12","alias_value":"INWQZGF36WXG","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"INWQZGF36WXGGOIF","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"INWQZGF3","created_at":"2026-05-18T12:27:46.883200+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/INWQZGF36WXGGOIF5HIYLRLMTC","json":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC.json","graph_json":"https://pith.science/api/pith-number/INWQZGF36WXGGOIF5HIYLRLMTC/graph.json","events_json":"https://pith.science/api/pith-number/INWQZGF36WXGGOIF5HIYLRLMTC/events.json","paper":"https://pith.science/paper/INWQZGF3"},"agent_actions":{"view_html":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC","download_json":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC.json","view_paper":"https://pith.science/paper/INWQZGF3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.6677&json=true","fetch_graph":"https://pith.science/api/pith-number/INWQZGF36WXGGOIF5HIYLRLMTC/graph.json","fetch_events":"https://pith.science/api/pith-number/INWQZGF36WXGGOIF5HIYLRLMTC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC/action/storage_attestation","attest_author":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC/action/author_attestation","sign_citation":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC/action/citation_signature","submit_replication":"https://pith.science/pith/INWQZGF36WXGGOIF5HIYLRLMTC/action/replication_record"}},"created_at":"2026-05-18T03:17:35.020226+00:00","updated_at":"2026-05-18T03:17:35.020226+00:00"}