{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2JJ6VHOSQFGIFVSN4TAYJXHAFM","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":"ae54bb9566053cbb4e0a6a4d9715e22ec042ac560923bded56effc9ccc1797ac","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-08-12T07:57:35Z","title_canon_sha256":"c76aee570060391922075694963f503b06dc81c558efd8a85159a21a2fdc29dd"},"schema_version":"1.0","source":{"id":"1708.03751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03751","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03751v1","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03751","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"2JJ6VHOSQFGI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2JJ6VHOSQFGIFVSN","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2JJ6VHOS","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:f6f2f866a669c47fe3c4a003fcb6540eefde5dfaf2c96d0fd5de1b1138169a71","target":"graph","created_at":"2026-05-18T00:38:08Z","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":"In this paper, we discuss the use of $\\varepsilon$-admissibility for estimation in high-dimensional and nonparametric statistical models. The minimax rate of convergence is widely used to compare the performance of estimators in high-dimensional and nonparametric models. However, it often works poorly as a criterion of comparison. In such cases, the addition of comparison by $\\varepsilon$-admissibility provides a better outcome. We demonstrate the usefulness of $\\varepsilon$-admissibility through high-dimensional Poisson model and Gaussian infinite sequence model, and present noble results.","authors_text":"Fumiyasu Komaki, Keisuke Yano","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-08-12T07:57:35Z","title":"On $\\varepsilon$-Admissibility in High Dimension and Nonparametrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03751","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":"sha256:891bd6eb56c6b89de6c5efc2f092ad7d9d556bf70bf199855204a49f053e8f29","target":"record","created_at":"2026-05-18T00:38:08Z","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":"ae54bb9566053cbb4e0a6a4d9715e22ec042ac560923bded56effc9ccc1797ac","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-08-12T07:57:35Z","title_canon_sha256":"c76aee570060391922075694963f503b06dc81c558efd8a85159a21a2fdc29dd"},"schema_version":"1.0","source":{"id":"1708.03751","kind":"arxiv","version":1}},"canonical_sha256":"d253ea9dd2814c82d64de4c184dce02b145f6b98aa87d4f9303200155301c56c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d253ea9dd2814c82d64de4c184dce02b145f6b98aa87d4f9303200155301c56c","first_computed_at":"2026-05-18T00:38:08.015657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:08.015657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6CA0LDfRP8sIXfp3mqkt+amsbRfy/3zrGPfoRE4xRRyQ3Q4UTf2CbJdkvCSnGWOAZdGnhQLmgGJHoOJTdSkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:08.016356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:891bd6eb56c6b89de6c5efc2f092ad7d9d556bf70bf199855204a49f053e8f29","sha256:f6f2f866a669c47fe3c4a003fcb6540eefde5dfaf2c96d0fd5de1b1138169a71"],"state_sha256":"a94b0bfcf3fca1dfe732c553a4e0edf272ae7bc66ef02b668336446da4a564ad"}