标题： 多变量生存数据的灵活部分线性单指标比例风险回归模型 显示英文标题

标题： A Flexible Partially Linear Single Index Proportional Hazards Regression Model for Multivariate Survival Data

摘要： 我们解决具有多变量响应和非线性协变量效应的生存回归建模问题。 我们的模型通过引入几个弱参数元素来扩展比例风险模型：边缘基线风险函数表示为分段常数，关联性通过copula进行建模，非线性协变量效应通过使用样条的单指标结构进行处理。 该模型允许使用完整似然方法进行推断，从而可以得到个体层面的生存或风险函数估计。 新模型的性能通过模拟研究和对巴塞尔顿健康研究数据的应用进行评估。 结果表明，所提出的方法能够很好地捕捉非线性协变量效应，并且对相关响应之间的关联性进行建模是有益的。 显示英文摘要

摘要： We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline hazard functions are expressed as piecewise constants, association is modelled with copulas, and nonlinear covariate effects are handled by a single-index structure using a spline. The model permits a full likelihood approach to inference, making it possible to obtain individual-level survival or hazard function estimates. Performance of the new model is evaluated through simulation studies and application to the Busselton health study data. The results suggest that the proposed method can capture nonlinear covariate effects well, and that there is benefit to modeling the association between the correlated responses.