---
格式版本: 2
标题: "A parametric framework for assessing and estimating sufficient follow-up time in cure models"
原文链接: "https://arxiv.org/abs/2608.11029"
发布日期: "2026-08-11"
发布时间校准状态: "found"
发布时间需复核: "否"
发布时间来源: "rule:local:strict_original_body"
发布时间证据: "**\\[v1\\]** Tue, 11 Aug 2026 15:08:24 UTC (237 KB)"
发布时间校准原因: "规则确认唯一严格发布时间，来源 local:strict_original_body"
发布时间校准置信度: "high"
发布时间候选数量: 18
发布时间严格候选数量: 6
发布时间原页读取状态: "source template page reused from URL open"
发布时间未找到原因: ""
发布时间校准时间: "2026-08-12T10:47:59+08:00"
发布时间仲裁状态: "skipped"
发布时间仲裁尝试次数: 0
发布时间仲裁耗时毫秒: 0
发现时间: "2026-08-12T10:46:47+08:00"
入库时间: "2026-08-12T02:47:59.866Z"
来源平台: "arXiv 学术论文搜索"
搜索渠道: "source_template"
搜索词: "https://arxiv.org/search/?query=Scale-up&searchtype=all"
匹配关键词:
  - "Scale-up"
  - "performance"
相关厂家:
  []
相关专家:
  []
内容类型: "网页"
抓取工具: "Free Fetch + Defuddle"
清洗工具: "Defuddle Markdown + Defuddle/Readability 正文提取"
原始附件:
  []
AI优质: "否"
AI打分: 5
AI分档: "非优质"
AI质检状态: "不通过"
AI打分理由: "正文为统计学治愈模型方法论文，与超节点/AI Rack/机柜级AI基础设施完全无关，仅搜索词命中Scale-up，内容无任何相关技术或商业信息。"
AI质检模型: "ali-deepseek-v4-flash"
AI质检时间: "2026-08-12T10:48:04+08:00"
AI主题相关性: 0
AI来源权威性: 5
AI新颖性: 0
AI技术细节: 0
AI商业部署信号: 0
AI完整性: 0
采集批次: "2026年8月12日2点04分20秒"
采集批次ID: "20260812-020420-289"
去重键: "https://arxiv.org/abs/2608.11029"
---

## Statistics > Methodology

## Title:A parametric framework for assessing and estimating sufficient follow-up time in cure models

[View PDF](https://arxiv.org/pdf/2608.11029) [HTML (experimental)](https://arxiv.org/html/2608.11029v1)

> Abstract:Reliable estimation of cure fractions depends critically on adequate follow-up. Classical procedures for assessing follow-up sufficiency are primarily inferential, whereas a separate body of literature estimates time to cure using excess-hazard, conditional cure-probability, or residual-survival definitions. These two approaches remain largely disconnected: assessing the adequacy of observed follow-up does not generally quantify the additional follow-up required under an explicit tolerance, whereas estimating time to cure does not itself provide a formal inferential assessment of the available follow-up. We develop a unified parametric framework that combines the Parametric Follow-up Sufficiency Test, which compares the terminal Kaplan-Meier estimate with the cure fraction estimated from a parametric mixture cure model, with two complementary tolerance-based formulations: the Plateau Distance Criterion on the population survival scale and the Residual Survival Criterion on the susceptible survival scale. We derive closed-form expressions for both criteria under the Weibull mixture cure model and establish that they yield identical minimum follow-up times under an appropriate transformation of their tolerance parameters. We evaluate the finite-sample performance of the framework through Monte Carlo simulations across sample sizes, cure fractions, and administrative censoring scenarios. Applications to prostate cancer and triple-negative breast cancer data illustrate how the framework assesses available follow-up, estimates additional observation time under prespecified tolerances, and identifies settings in which follow-up is already adequate.

| Comments: |  |
| --- | --- |
| Subjects: | Methodology (stat.ME) |
| Cite as: | [arXiv:2608.11029](https://arxiv.org/abs/2608.11029) \[stat.ME\] |
|  | (or [arXiv:2608.11029v1](https://arxiv.org/abs/2608.11029v1) \[stat.ME\] for this version) |
|  | [https://doi.org/10.48550/arXiv.2608.11029](https://doi.org/10.48550/arXiv.2608.11029) |

## Submission history

From: Luiz Fernando Silva-Resende \[[view email](https://arxiv.org/show-email/f29fe804/2608.11029)\]  
**\[v1\]** Tue, 11 Aug 2026 15:08:24 UTC (237 KB)

[Which authors of this paper are endorsers?](https://arxiv.org/auth/show-endorsers/2608.11029) | Disable MathJax ([What is MathJax?](https://info.arxiv.org/help/mathjax.html))
