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Pure Mathematics 2025
带有多终止事件的复发事件数据可加可乘比率模型
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Abstract:
在已有的联合建模方法基础上，深入分析了具有两类终止事件的复发事件数据。研究中采用含脆弱变量的可加可乘比率模型来描述复发事件过程，同时运用含脆弱变量的Cox型模型刻画终止事件过程。两类事件通过共同的脆弱变量建立联系，从而揭示终止事件与复发事件之间的关联性。进一步提出了联合模型中边缘参数和关联参数的估计方程，并探讨了估计量的渐进性质。
Recurrent event data with two types of termination events were analyzed in depth on the basis of existing joint modeling approaches. In the study, an additive and multiplicative ratio model with fragile variables is used to describe the recurrent event process, while a Cox-type model with fragile variables is applied to portray the termination event process. The two types of events are linked through a common vulnerability variable, thus revealing the correlation between termination and recurrence events. The estimation equations for the edge and association parameters in the joint model are further proposed and the asymptotic nature of the estimates is explored.
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