{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VKKT6NEELLG6WORZ4X74CMVK7N","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":"6a1a29c8d10feb04ccda426fa1a29ff6ef09fd1d05d7e400b2ec58ff08d53c67","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-22T11:12:51Z","title_canon_sha256":"4c352ac37d2007fa75d4d582a8d248a89d3829fd68c1b789338cb855fe53305d"},"schema_version":"1.0","source":{"id":"1306.5311","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5311","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5311v1","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5311","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"pith_short_12","alias_value":"VKKT6NEELLG6","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VKKT6NEELLG6WORZ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VKKT6NEE","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:788ed8f081cfe01ae98e6094da7bf4a1b6eb7985db04b3cf2bf934aa96f386fd","target":"graph","created_at":"2026-05-18T03:20:08Z","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":"Linear relations, containing measurement errors in input and output data, are taken into account in this paper. Parameters of these so-called errors-in-variables (EIV) models can be estimated by minimizing the total least squares (TLS) of the input-output disturbances. Such an estimate is highly non-linear. Moreover in some realistic situations, the errors cannot be considered as independent by nature. Weakly dependent (\\alpha- and \\phi-mixing) disturbances, which are not necessarily stationary nor identically distributed, are considered in the EIV model. Asymptotic normality of the TLS estima","authors_text":"Michal Pe\\v{s}ta","cross_cats":["math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-22T11:12:51Z","title":"Asymptotics for weakly dependent errors-in-variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5311","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:fccf4d2b1d24ab3275b8fb5f9b3c6fa52e65c6a43c09760ecec87d48ee6ee154","target":"record","created_at":"2026-05-18T03:20:08Z","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":"6a1a29c8d10feb04ccda426fa1a29ff6ef09fd1d05d7e400b2ec58ff08d53c67","cross_cats_sorted":["math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-22T11:12:51Z","title_canon_sha256":"4c352ac37d2007fa75d4d582a8d248a89d3829fd68c1b789338cb855fe53305d"},"schema_version":"1.0","source":{"id":"1306.5311","kind":"arxiv","version":1}},"canonical_sha256":"aa953f34845acdeb3a39e5ffc132aafb721dac473f151316028e7c930f2e2052","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa953f34845acdeb3a39e5ffc132aafb721dac473f151316028e7c930f2e2052","first_computed_at":"2026-05-18T03:20:08.536496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:08.536496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wkesiHn9s+iO5vutGe1D/am9KNWEP21a2mO/P7D36ABgpHe73xGIRA2bgTrApBvColvjaLpC6G0R5Umd+1DxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:08.537017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5311","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fccf4d2b1d24ab3275b8fb5f9b3c6fa52e65c6a43c09760ecec87d48ee6ee154","sha256:788ed8f081cfe01ae98e6094da7bf4a1b6eb7985db04b3cf2bf934aa96f386fd"],"state_sha256":"49a3a0b92ac30c1b44c88be365d3b94506da73d2a6b9c80eb1ead384eccbec99"}