{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3HYOFCSQ2JKNSJOYIZPZ4ZB4ZG","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":"3b0f230de923dffc80152d2514c33e0f7e069861cae26f96cf577189e420ecb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-26T23:19:35Z","title_canon_sha256":"8492365317be07f93523864e0efe85af01f3fd736564a2eb43dcbca883a273ed"},"schema_version":"1.0","source":{"id":"1311.6844","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6844","created_at":"2026-05-18T03:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6844v1","created_at":"2026-05-18T03:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6844","created_at":"2026-05-18T03:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"3HYOFCSQ2JKN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3HYOFCSQ2JKNSJOY","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3HYOFCSQ","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:183d20b2fb6f93430502502f96f6a732e405d05104549142534de6ddc47759d8","target":"graph","created_at":"2026-05-18T03:06:05Z","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":"Due to measurement noise, a common problem in in various fields is how to estimate the ratio of two functions. We consider this problem of estimating the ratio of two functions in a nonparametric regression model. Assuming the noise is normally distributed, this is equivalent to estimating the ratio of the means of two normally distributed random variables. We identified a consistent estimator that gives the mean squared loss of order $O(1/n)$ ($n$ is the sample size) when conditioned on a highly probable event. We also present our result applied to both the real data from EAPS and on simulate","authors_text":"Jelena Markovic, Lie Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-26T23:19:35Z","title":"Estimating the Ratio of Two Functions in a Nonparametric Regression Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6844","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":"sha256:7e00dcfbf3f6d88cefb5f9f788b7e16f7ca53150cac5c759ff2dcd9297a107d8","target":"record","created_at":"2026-05-18T03:06:05Z","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":"3b0f230de923dffc80152d2514c33e0f7e069861cae26f96cf577189e420ecb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-26T23:19:35Z","title_canon_sha256":"8492365317be07f93523864e0efe85af01f3fd736564a2eb43dcbca883a273ed"},"schema_version":"1.0","source":{"id":"1311.6844","kind":"arxiv","version":1}},"canonical_sha256":"d9f0e28a50d254d925d8465f9e643cc99235a01bae1f765f601bebbbf6602846","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9f0e28a50d254d925d8465f9e643cc99235a01bae1f765f601bebbbf6602846","first_computed_at":"2026-05-18T03:06:05.362683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:05.362683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uXyp94swPRmCMKy8mvKmbZCJii73mABzsE+s5t3fFX0WhYHUalymfFQTDqGWJjxIi7hiEMcrxFXNlIKqu8cWDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:05.363148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6844","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e00dcfbf3f6d88cefb5f9f788b7e16f7ca53150cac5c759ff2dcd9297a107d8","sha256:183d20b2fb6f93430502502f96f6a732e405d05104549142534de6ddc47759d8"],"state_sha256":"b79949f2b84d497d0dd34ad3ed163a8d770114ce2b278d7e2fa87ff3cf0d660a"}