Pith Number

pith:CJTGSYI5

pith:2026:CJTGSYI5XVRYJ3YS5JOSI7LZRG

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Differentially private hypothesis testing in survival analysis

Elly K. H. Hung, Yi Yu

Differentially private tests for Cox coefficients and cumulative hazards achieve finite-sample guarantees in survival analysis.

arxiv:2605.16906 v1 · 2026-05-16 · math.ST · stat.ME · stat.TH

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Claims

C1strongest claim

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.

C2weakest assumption

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.

C3one line summary

Initiates finite-sample theory for differentially private hypothesis testing in survival analysis, with private tests for Cox models and cumulative hazards plus minimax bounds.

References

68 extracted · 68 resolved · 3 Pith anchors

[1] Differentially Private Estimation and Inference in High-Dimensional Regression with FDR Control · arXiv:2310.16260

[2] Statistical inference , author=. 2024 , publisher= 2024

[3] arXiv preprint arXiv:2505.24811 , year=

[4] Survival analysis , author=. 2011 , publisher= 2011

[5] arXiv preprint arXiv:2508.04800 , year=

Formal links

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Receipt and verification

First computed	2026-05-20T00:03:29.465006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126669611dbd6384ef12ea5d247d79899bda2646e1597a913897c08620c05fa8

Aliases

arxiv: 2605.16906 · arxiv_version: 2605.16906v1 · doi: 10.48550/arxiv.2605.16906 · pith_short_12: CJTGSYI5XVRY · pith_short_16: CJTGSYI5XVRYJ3YS · pith_short_8: CJTGSYI5

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CJTGSYI5XVRYJ3YS5JOSI7LZRG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 126669611dbd6384ef12ea5d247d79899bda2646e1597a913897c08620c05fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09655a10fdb9cb94bc1d5b7f93b4df85572ab140d8d52eb4aa17919d354d1b4a",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-16T09:41:49Z",
    "title_canon_sha256": "eddef2864c0952d3405a003fcb2793d417cd6840b31a4f5aa60002df64ffd3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16906",
    "kind": "arxiv",
    "version": 1
  }
}