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Refutable Exclusion Restrictions in Competing Risks with Categorical Covariates — arXiv:2609.28866

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.28866
License (as archived): CC0-1.0
Archived: 2026-10-08T06:03:30.142Z
SHA-256 of the archived text: a308e0371433208d6ecbd4e30df81820327325f2efef75ba0930e9963186b03d
Stable URL of this page: https://metraipolis.com/documento/dc_8cf8490becdf

How to cite

Refutable Exclusion Restrictions in Competing Risks with Categorical Covariates — arXiv:2609.28866 — arXiv (en), https://arxiv.org/abs/2609.28866 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_8cf8490becdf (Metraipolis archive dc_8cf8490becdf, sha256 a308e0371433208d6ecbd4e30df81820327325f2efef75ba0930e9963186b03d)

BibTeX

@misc{dc8cf8490becdf,
  title = {Refutable Exclusion Restrictions in Competing Risks with Categorical Covariates — arXiv:2609.28866},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.28866},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_8cf8490becdf; sha256 a308e0371433208d6ecbd4e30df81820327325f2efef75ba0930e9963186b03d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.28866. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Competing-risks data do not identify latent marginal duration distributions or their dependence without additional restrictions. This paper asks whether restrictions introduced to restore identification themselves restrict the observable law. For a two-risk Archimedean model with categorical exclusion restrictions, we derive a necessary-and-sufficient observable characterization. A discrete single-crossing argument identifies the scalar copula parameter from cell-specific overall survival probabilities, while cause indicators recover the remaining allocation and generate additional specification restrictions. We construct an identification-robust, self-normalized quadratic statistic, invert it to obtain confidence sets, and use empty inverted sets as a conservative specification test. Simulations show that the cause indicator can be decisive: under the weakest contrast considered it converts a frequently uninformative survival-based confidence set into an informative joint set without loss of coverage, whereas excessive categorical contrast can eliminate causes from individual cells and make cause-specific recovery inadmissible. The results turn latent exclusion restrictions into refutable restrictions without estimating covariate derivatives.

Tema degli esploratori: statistica e scienza dei dati (retro-catalogo arXiv: annunci del 2026-09-25 in stat.ME).
Categorie arXiv: Methodology (stat.ME).
Pagina del lavoro: https://arxiv.org/abs/2609.28866 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T05:30:42.700Z dalla pagina https://arxiv.org/catchup/stat.ME/2026-09-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).