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arXiv · 2502.08430

Uniform confidence bands for joint angles across different fatigue phases

Patrick Bastian·Rupsa Basu·Holger Dette
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Abstract

We develop uniform confidence bands for the mean function of stationary time series as a post-hoc analysis of multiple change point detection in functional time series. In particular, the methodology in this work provides bands for those segments where the jump size exceeds a certain threshold $\Delta$. In \cite{bastian2024multiplechangepointdetection} such exceedences of $\Delta$ were related to fatigue states of a running athlete. The extension to confidence bands stems from an interest in understanding the range of motion (ROM) of lower-extremity joints of running athletes under fatiguing conditions. From a biomechanical perspective, ROM serves as a proxy for joint flexibility under varying fatigue states, offering individualized insights into potentially problematic movement patterns. The new methodology provides a valuable tool for understanding the dynamic behavior of joint motion and its relationship to fatigue.

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Patrick Bastian, Rupsa Basu, Holger Dette. 2025-02-12. Uniform confidence bands for joint angles across different fatigue phases. https://arxiv.org/abs/2502.08430

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