通过多变量合方法对纵向测量和生存时间的联合建模
Zili Zhang1, Christiana Charalambous1, Peter Foster1
1Department of Mathematics, University of Manchester, Manchester, UK.
Journal of applied statistics
|September 18, 2023
概括
本研究介绍了纵向和时间到事件数据的联合模型的确切概率估计,提高了比蒙特卡洛方法更高的计算效率. 拟议的方法提供与现有的共享随机效应模型可比的预测性能.
科学领域:
- 生物统计学 生物统计学
- 统计建模 统计建模
- 生存分析的分析.
背景情况:
- 联合模型使用共享的潜在效应将纵向和时间到事件数据联系起来.
- 块为这些数据类型之间的非线性关联建模提供了一个替代方案.
- 现有的多变量高斯偶数模型通常依赖于计算密集的蒙特卡洛预期-最大化算法.
研究的目的:
- 开发一个准确的概率估计方法,用于联合模型使用 copula.
- 在这个框架内比较多变量高斯函数和t-copula函数的性能.
- 为计算生存概率的动态预测提供一种方法.
主要方法:
- 提出了一个精确的概率估计方法来取代蒙特卡洛预期-最大化.
- 使用多变量高斯函数和t-copula函数实现了联合模型.
- 开发了一种用于动态生存概率预测的简单方法.
主要成果:
- 精确概率方法在计算上比蒙特卡洛方法更有效.
- 拟议的基于的联合模型展示了与共享随机效应模型相比较的预测性能.
- 成功计算了关于生存概率的动态预测.
结论:
- 拟议的精确概率估计为纵向和时间到事件数据的联合建模提供了高效和有效的替代方案.
- 基于的联合模型,特别是具有精确概率的联合模型,可用于捕获复杂的关联并产生准确的预测.
- 这种方法有助于在需要整合纵向和生存数据的领域进行改进的统计分析.
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