We study models for recurrent events with special emphasis on the situation where a terminal event acts as a competing risk for the recurrent events process and where there may be gaps between periods during which subjects are at risk for the recurrent event. We focus on marginal analysis of the expected number of events and show that an Aalen–Johansen type estimator proposed by Cook and Lawless is applicable in this situation. A motivating example deals with psychiatric hospital admissions where we supplement with analyses of the marginal distribution of time to the competing event and the marginal distribution of the time spent in hospital. Pseudo-observations are used for the latter purpose.

中文翻译：

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在存在终末事件的情况下对复发事件进行研究时对边缘特征进行建模。

我们研究周期性事件的模型，并特别着重于以下情况：末期事件在周期性事件过程中构成竞争风险，并且在受试者处于周期性事件风险的时期之间可能存在差距。我们专注于对预期事件数的边际分析，并表明Cook和Lawless提出的Aalen-Johansen类型估计量适用于这种情况。一个令人振奋的例子涉及精神病医院的入院，我们在分析中补充了对竞争事件的时间边际分布和住院时间的边际分布的分析。伪观测用于后一目的。