{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:HILM6TQZFIC4SW35EKRKVNWXSJ","short_pith_number":"pith:HILM6TQZ","schema_version":"1.0","canonical_sha256":"3a16cf4e192a05c95b7d22a2aab6d7926c0fefca5b09a4234f02f10e9a3bd65c","source":{"kind":"arxiv","id":"1806.05839","version":1},"attestation_state":"computed","paper":{"title":"Density estimation for RWRE","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Antoine Havet (CMAP), CMAP, \\'Eric Moulines (CMAP, Matthieu Lerasle (LMO, SELECT), XPOP)","submitted_at":"2018-06-15T07:38:54Z","abstract_excerpt":"We consider the problem of non-parametric density estimation of a random environment from the observation of a single trajectory of a random walk in this environment. We first construct a density estimator using the beta-moments. We then show that the Goldenshluger-Lepski method can be used to select the beta-moment. We prove non-asymptotic bounds for the supremum norm of these estimators for both the recurrent and the transient to the right cases. A simulation study supports our theoretical findings."},"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":"1806.05839","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-06-15T07:38:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"075ad930fd1e4c50aea570f31f6ac8f570f0656d78c1123fff53ef1f26677589","abstract_canon_sha256":"9e36ff0cd34c2b39cec8e13dd0a54e12ba788ba97bbd3d4b0a99f7a0c4d26c4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:09.293203Z","signature_b64":"X4d0vJUNsPoPaVm8U0rSiekdiBqRaD3MscksNG33sErL+N1SIudeBlW5HnDz4E2jBUaKui0D/OctfpCWJ44TBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a16cf4e192a05c95b7d22a2aab6d7926c0fefca5b09a4234f02f10e9a3bd65c","last_reissued_at":"2026-05-18T00:13:09.292559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:09.292559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density estimation for RWRE","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Antoine Havet (CMAP), CMAP, \\'Eric Moulines (CMAP, Matthieu Lerasle (LMO, SELECT), XPOP)","submitted_at":"2018-06-15T07:38:54Z","abstract_excerpt":"We consider the problem of non-parametric density estimation of a random environment from the observation of a single trajectory of a random walk in this environment. We first construct a density estimator using the beta-moments. We then show that the Goldenshluger-Lepski method can be used to select the beta-moment. We prove non-asymptotic bounds for the supremum norm of these estimators for both the recurrent and the transient to the right cases. A simulation study supports our theoretical findings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.05839","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":"1806.05839","created_at":"2026-05-18T00:13:09.292659+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.05839v1","created_at":"2026-05-18T00:13:09.292659+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.05839","created_at":"2026-05-18T00:13:09.292659+00:00"},{"alias_kind":"pith_short_12","alias_value":"HILM6TQZFIC4","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"HILM6TQZFIC4SW35","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"HILM6TQZ","created_at":"2026-05-18T12:32:28.185984+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/HILM6TQZFIC4SW35EKRKVNWXSJ","json":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ.json","graph_json":"https://pith.science/api/pith-number/HILM6TQZFIC4SW35EKRKVNWXSJ/graph.json","events_json":"https://pith.science/api/pith-number/HILM6TQZFIC4SW35EKRKVNWXSJ/events.json","paper":"https://pith.science/paper/HILM6TQZ"},"agent_actions":{"view_html":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ","download_json":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ.json","view_paper":"https://pith.science/paper/HILM6TQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.05839&json=true","fetch_graph":"https://pith.science/api/pith-number/HILM6TQZFIC4SW35EKRKVNWXSJ/graph.json","fetch_events":"https://pith.science/api/pith-number/HILM6TQZFIC4SW35EKRKVNWXSJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ/action/storage_attestation","attest_author":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ/action/author_attestation","sign_citation":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ/action/citation_signature","submit_replication":"https://pith.science/pith/HILM6TQZFIC4SW35EKRKVNWXSJ/action/replication_record"}},"created_at":"2026-05-18T00:13:09.292659+00:00","updated_at":"2026-05-18T00:13:09.292659+00:00"}