Frequency of Recurrent Events at Failure Time
终止事件发生时的复发事件频次AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要聚焦医疗复发事件与终止时间的联合分析，未明确对应给定经济计量细分。
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终止事件发生时的复发事件频次
- 研究问题
- 当复发事件与终止事件相关且随访不完整时，如何识别和估计终止时的复发频次及其回归关系？
- 方法与思路
- 作者从预设边际模型构造半参数联合模型，以单调估计函数开展估计，并提出适应非光滑函数的区间程序。
- 材料陈述的贡献
- 摘要称边际频次模型通常不可识别，联合模型估计量具有一致性和渐近正态性，并扩展至多类型复发事件。
- 阅读关注点
- 应核对边际模型不可识别的论证、联合模型的依赖结构、随访与删失条件，以及非光滑区间估计的构造。
- 阅读边界
- 仅据版本未注明的索引摘要；具体识别与渐近条件未说明，模拟和临床应用的可靠性表述尚不能独立核验。
原文摘要
Recurrent events arise in many longitudinal medical studies where time to a terminal event or failure is the primary endpoint. With incomplete follow-up data, the analysis of recurrent events is a challenge owing to their association with the failure. One specific quantity of interest rarely addressed in the statistical literature is the recurrence frequency at the failure time; an example is hospitalization frequency, which is often used as a rough measure of lifetime medical cost. In this article we show that a marginal model (e.g., the log-linear model) of the recurrence frequency, although desirable, is typically not identifiable. For this reason, we advocate modeling the recurrent events and the failure time jointly, and propose an approach to forming semiparametric joint models from prespecified marginal ones. We suggest two conceptually simple and nested regression models aiming at the recurrence frequency as a mark of the failure and at the process of recurrent events. We formulate monotone estimating functions and propose novel interval-estimation procedures to accommodate non-smooth estimating functions. The resulting estimators are consistent and asymptotically normal. Simulation studies and the application to an AIDS clinical trial exhibit that these proposals are easy to implement and reliable for practical use. Finally, we generalize our proposals to marked recurrent events, and also devise a global inference procedure for recurrent events of multiple types.