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用间隔审查数据检查考克斯的比例危险模型.
Yangjianchen Xu1, Donglin Zeng2, D Y Lin3
1Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, ON, Canada.
Journal of the American Statistical Association
|December 8, 2025
概括
本研究引入了一个框架,用于验证对间隔审查数据的考克斯比例危险模型. 这些方法使用随机过程和模拟来评估模型假设,并提高适合生存分析.
科学领域:
- 生物统计学 生物统计学
- 生存分析的分析.
- 统计建模 统计建模
背景情况:
- 考克斯的比例危险模型在生存分析中被广泛使用.
- 间隔审查的数据,事件时间只有在间隔内才知道,为模型充分性评估带来了独特的挑战.
研究的目的:
- 制定一个一般的框架,用于检查Cox比例危险模型的充分性,特别是对于间隔审查数据.
- 为评估共变函数形式,链接函数和比例危险假设提供工具.
主要方法:
- 与模型组件相关的信息随机过程的构建.
- 实证过程理论的应用,以建立对高斯过程的弱收.
- 使用蒙特卡洛模拟来近似限制分布.
主要成果:
- 根据假设的模型,拟议的随机过程被证明趋于零平均高斯过程.
- 开发出图形和数值程序来检查模型假设并提高合适度.
- 方法的性能通过广泛的模拟研究来评估.
结论:
- 开发的框架提供了一种可靠的方法,用于用间隔审查数据验证考克斯比例危险模型.
- 这些方法为研究人员提供了实用工具,以评估和改善生存数据分析中的模型充分性.
- 该研究包括对社区动脉样硬化风险研究的应用,证明了现实世界的实用性.
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