Bluhmki Tobias, Dobler Dennis, Beyersmann Jan, Pauly Markus
Institute of Statistics, Ulm University, Helmholtzstrasse 20, 89081, Ulm, Germany.
Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands.
Lifetime Data Anal. 2019 Jan;25(1):97-127. doi: 10.1007/s10985-018-9423-x. Epub 2018 Mar 6.
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.
我们将广泛使用的野生自助重抽样技术严格扩展到阿伦乘性强度模型下的多元纳尔逊-阿伦估计量。阿伦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影响的竞争风险。这导致了各种统计应用，如渐近有效的置信带或等价性和比例风险检验。这在一项分析通气对重症监护病房住院时间影响的数据分析中得到了例证。新方法的有限样本性质在一项模拟研究中进行了调查。
