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Model-Induced Hazard Geometry and Functional Representations in Survival Analysis — arXiv:2610.19643

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.19643
License (as archived): CC0-1.0
Archived: 2026-10-15T14:24:37.694Z
SHA-256 of the archived text: c590781c01a4b21846650cbc89981523752e635a0d6bc0c8ab854cf1a7752bf2
Stable URL of this page: https://metraipolis.com/documento/dc_f87ee41f46ea

How to cite

Model-Induced Hazard Geometry and Functional Representations in Survival Analysis — arXiv:2610.19643 — arXiv (en), https://arxiv.org/abs/2610.19643 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f87ee41f46ea (Metraipolis archive dc_f87ee41f46ea, sha256 c590781c01a4b21846650cbc89981523752e635a0d6bc0c8ab854cf1a7752bf2)

BibTeX

@misc{dcf87ee41f46ea,
  title = {Model-Induced Hazard Geometry and Functional Representations in Survival Analysis — arXiv:2610.19643},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.19643},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f87ee41f46ea; sha256 c590781c01a4b21846650cbc89981523752e635a0d6bc0c8ab854cf1a7752bf2},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.19643. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Individualized survival predictions are often summarized by scalar risk scores or event probabilities at selected time horizons, although clinically relevant risk may also differ in its temporal organization. We consider finite-dimensional representations of individual hazard trajectories through interpretable hazard functionals, such as peak timing, cumulative hazard over prespecified intervals, and persistence of elevated risk. A central issue is that the richness of such representations is constrained by the hazard geometry supported by the underlying survival model. We formalize this through model-induced tangent spaces and functional ranks, derive an exact decomposition of model-supported variation into directions retained and lost by a chosen representation, and introduce a model-relative notion of local completeness. We further distinguish intrinsic model capacity from the variation actually activated by covariates. These results motivate a structured extension of AFT time scaling through a positive-affine deformation on the log-time scale, yielding a power-warp mechanism with an additional temporal deformation direction. Combined with a log-logistic reference hazard, this gives a parsimonious likelihood-based working specification for which peak timing and peak height provide complete coordinates over the unimodal regime. We also establish plug-in recovery and asymptotic inference for hazard functionals. Simulations and a lung-cancer application illustrate how model-induced restrictions propagate to hazard-functional representations.

Tema degli esploratori: statistica e scienza dei dati (elenco arXiv stat.ME, nuovi lavori del giorno).
Categorie arXiv: Methodology (stat.ME) ; Statistics Theory (math.ST).
Pagina del lavoro: https://arxiv.org/abs/2610.19643 — 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 2026-10-15T13:54:35.305Z dalla pagina https://arxiv.org/list/stat.ME/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).