We rigorously extend the widely used wild bootstrap resampling technique to the multivariate Nelson–Aalen estimator under Aalen’s multiplicative intensity model. Aalen’s model covers general Markovian multistate models including competing risks subject to independent left-truncation and right-censoring. This leads to various statistical applications such as asymptotically valid confidence bands or tests for equivalence and proportional hazards. This is exemplified in a data analysis examining the impact of ventilation on the duration of intensive care unit stay. The finite sample properties of the new procedures are investigated in a simulation study.

中文翻译：

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多元Nelson-Aalen估计量的狂热引导。

在Aalen乘法强度模型下，我们将广泛使用的野生自举重采样技术严格扩展到了多元Nelson-Aalen估计量。Aalen的模型涵盖了一般的马尔可夫多状态模型，包括受独立左截断和右删失约束的竞争风险。这导致了各种统计应用，例如渐近有效的置信带或等效性和比例风险的检验。这在检查通气对重症监护病房停留时间的影响的数据分析中得到了例证。在仿真研究中研究了新程序的有限样本属性。