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Across these problems, we prove differential privacy and"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We initiate a finite-sample theory of private hypothesis testing in survival analysis applications. For Cox regression coefficients, we develop private partial-likelihood-ratio and score-type tests, including a private calibration procedure for the rejection threshold. For cumulative hazard functions, we propose a private distributed two-sample test. Across these problems, we prove differential privacy and finite-sample testing guarantees, as well as minimax lower bounds.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The approach assumes that the underlying survival data follows standard right-censored models (such as Cox proportional hazards) and that a private calibration procedure for rejection thresholds can be implemented without invalidating the finite-sample guarantees, though the abstract provides no details on how calibration interacts with censoring or model misspecification.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Initiates finite-sample theory for differentially private hypothesis testing in survival analysis, with private tests for Cox models and cumulative hazards plus minimax bounds.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Differentially private tests for Cox coefficients and cumulative hazards achieve finite-sample guarantees in survival analysis.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0ece397061b468df98b62be59287fc0c8be3152306e336586c6a0ac47ea8e21a"},"source":{"id":"2605.16906","kind":"arxiv","version":1},"verdict":{"id":"780d28f2-0474-4145-8129-a457f7adbfbd","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:09:47.699251Z","strongest_claim":"We initiate a finite-sample theory of private hypothesis testing in survival analysis applications. 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