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Basics of Multivariate Analysis in Neuroimaging Data
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The wild bootstrap for multivariate Nelson-Aalen estimators
Tobias Bluhmki1, Dennis Dobler2, Jan Beyersmann1
1Institute of Statistics, Ulm University, Helmholtzstrasse 20, 89081, Ulm, Germany.
Abstract:
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.
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