{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BWXKS7QSAC744PAXYOQQD6GCTJ","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":"12758e51cc5af9e6c7bc85b93db20d2be2799e066c6a42ca2b527fe22f45f4fa","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-03-08T10:40:09Z","title_canon_sha256":"2029ca9698c9a895e6c56260fa3d496fbb7da412b8572a2f420703d6c2268f21"},"schema_version":"1.0","source":{"id":"1103.1489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.1489","created_at":"2026-05-18T04:27:15Z"},{"alias_kind":"arxiv_version","alias_value":"1103.1489v1","created_at":"2026-05-18T04:27:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1489","created_at":"2026-05-18T04:27:15Z"},{"alias_kind":"pith_short_12","alias_value":"BWXKS7QSAC74","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BWXKS7QSAC744PAX","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BWXKS7QS","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:70d6103338c8485f6a05a112a2a5bd62eef0cdc165139519341c491bf543d2df","target":"graph","created_at":"2026-05-18T04:27:15Z","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":"We consider the statistical deconvolution problem where one observes $n$ replications from the model $Y=X+\\epsilon$, where $X$ is the unobserved random signal of interest and $\\epsilon$ is an independent random error with distribution $\\phi$. Under weak assumptions on the decay of the Fourier transform of $\\phi,$ we derive upper bounds for the finite-sample sup-norm risk of wavelet deconvolution density estimators $f_n$ for the density $f$ of $X$, where $f:\\mathbb{R}\\to \\mathbb{R}$ is assumed to be bounded. We then derive lower bounds for the minimax sup-norm risk over Besov balls in this esti","authors_text":"Karim Lounici, Richard Nickl","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-03-08T10:40:09Z","title":"Global uniform risk bounds for wavelet deconvolution estimators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1489","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:beb5545a3f6d9df876cf8271fca72ddaa3b39a3af220aba93bcbb46da32dba4b","target":"record","created_at":"2026-05-18T04:27:15Z","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":"12758e51cc5af9e6c7bc85b93db20d2be2799e066c6a42ca2b527fe22f45f4fa","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-03-08T10:40:09Z","title_canon_sha256":"2029ca9698c9a895e6c56260fa3d496fbb7da412b8572a2f420703d6c2268f21"},"schema_version":"1.0","source":{"id":"1103.1489","kind":"arxiv","version":1}},"canonical_sha256":"0daea97e1200bfce3c17c3a101f8c29a521a15cfd6203c0f14b81be57346fa3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0daea97e1200bfce3c17c3a101f8c29a521a15cfd6203c0f14b81be57346fa3d","first_computed_at":"2026-05-18T04:27:15.761372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:15.761372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MIVil/+WkixDxRVl6egyE2AdkfO0dG4JIJVnugbhSSsz/SxYRwn7bqw5MVvj+lfzk7xcPqnIG4w58hjY9zJYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:15.761996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.1489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:beb5545a3f6d9df876cf8271fca72ddaa3b39a3af220aba93bcbb46da32dba4b","sha256:70d6103338c8485f6a05a112a2a5bd62eef0cdc165139519341c491bf543d2df"],"state_sha256":"5921e55335df7540756b1dca278964bd6b33b312d373acc4463f68f18c41e5ea"}