{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HOIUZKM7HD2DJRNCXQYDU5ZO4W","short_pith_number":"pith:HOIUZKM7","schema_version":"1.0","canonical_sha256":"3b914ca99f38f434c5a2bc303a772ee5926af57f57983ca25dde33c20564b597","source":{"kind":"arxiv","id":"1605.05615","version":1},"attestation_state":"computed","paper":{"title":"Bootstrapping the Kaplan-Meier Estimator on the Whole Line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Dennis Dobler","submitted_at":"2016-05-18T15:29:13Z","abstract_excerpt":"This article is concerned with proving the consistency of Efron's (1981) bootstrap for the Kaplan-Meier estimator on the whole support of a survival function. While other works address the asymptotic Gaussianity of the estimator itself without restricting time (e.g. Gill, 1983, and Ying, 1989), we enable the construction of bootstrap-based time-simultaneous confidence bands for the whole survival function. Other practical applications include bootstrap-based confidence bands for the mean residual life-time function or the Lorenz curve as well as confidence intervals for the Gini index."},"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":"1605.05615","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-05-18T15:29:13Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"f8aa3c56b8032c83d3f63d1160a6778b905029f9f8254be048fe234f27424f8f","abstract_canon_sha256":"aa854d0d1de83cf626687b0cd18fbfb8411c97cbb0a40eae6e7cda577ecfc840"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:34.430597Z","signature_b64":"Y7w3fPGGuRIyn63CJxK9Z7tFhRgAIPJqTIyVeRrJdX9z/9PKtIlfeRq2VgaN1QypNgqro1kq1Oh/CaSTgDOoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b914ca99f38f434c5a2bc303a772ee5926af57f57983ca25dde33c20564b597","last_reissued_at":"2026-05-18T01:14:34.429967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:34.429967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrapping the Kaplan-Meier Estimator on the Whole Line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Dennis Dobler","submitted_at":"2016-05-18T15:29:13Z","abstract_excerpt":"This article is concerned with proving the consistency of Efron's (1981) bootstrap for the Kaplan-Meier estimator on the whole support of a survival function. While other works address the asymptotic Gaussianity of the estimator itself without restricting time (e.g. Gill, 1983, and Ying, 1989), we enable the construction of bootstrap-based time-simultaneous confidence bands for the whole survival function. Other practical applications include bootstrap-based confidence bands for the mean residual life-time function or the Lorenz curve as well as confidence intervals for the Gini index."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05615","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":"1605.05615","created_at":"2026-05-18T01:14:34.430075+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.05615v1","created_at":"2026-05-18T01:14:34.430075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05615","created_at":"2026-05-18T01:14:34.430075+00:00"},{"alias_kind":"pith_short_12","alias_value":"HOIUZKM7HD2D","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HOIUZKM7HD2DJRNC","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HOIUZKM7","created_at":"2026-05-18T12:30:19.053100+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/HOIUZKM7HD2DJRNCXQYDU5ZO4W","json":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W.json","graph_json":"https://pith.science/api/pith-number/HOIUZKM7HD2DJRNCXQYDU5ZO4W/graph.json","events_json":"https://pith.science/api/pith-number/HOIUZKM7HD2DJRNCXQYDU5ZO4W/events.json","paper":"https://pith.science/paper/HOIUZKM7"},"agent_actions":{"view_html":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W","download_json":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W.json","view_paper":"https://pith.science/paper/HOIUZKM7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.05615&json=true","fetch_graph":"https://pith.science/api/pith-number/HOIUZKM7HD2DJRNCXQYDU5ZO4W/graph.json","fetch_events":"https://pith.science/api/pith-number/HOIUZKM7HD2DJRNCXQYDU5ZO4W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W/action/storage_attestation","attest_author":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W/action/author_attestation","sign_citation":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W/action/citation_signature","submit_replication":"https://pith.science/pith/HOIUZKM7HD2DJRNCXQYDU5ZO4W/action/replication_record"}},"created_at":"2026-05-18T01:14:34.430075+00:00","updated_at":"2026-05-18T01:14:34.430075+00:00"}