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Injuries to the lower extremity joints are often debilitating, particularly for professional athletes. Understanding the onset of stressful conditions on these joints is therefore important in order to ensure prevention of injuries as well…

Statistics Theory · Mathematics 2024-04-25 Patrick Bastian , Rupsa Basu , Holger Dette

Injuries to the knee joint are very common for long-distance and frequent runners, an issue which is often attributed to fatigue. We address the problem of fatigue detection from biomechanical data from different sources, consisting of…

Methodology · Statistics 2024-08-22 Rupsa Basu , Katharina Proksch

Quantifying uncertainty using confidence regions is a central goal of statistical inference. Despite this, methodologies for confidence bands in Functional Data Analysis are still underdeveloped compared to estimation and hypothesis…

Methodology · Statistics 2022-11-14 Dominik Liebl , Matthew Reimherr

This paper develops a method to construct uniform confidence bands for a nonparametric regression function where a predictor variable is subject to a measurement error. We allow for the distribution of the measurement error to be unknown,…

Statistics Theory · Mathematics 2019-06-17 Kengo Kato , Yuya Sasaki

This paper studies change-points in human brain functional connectivity (FC) and seeks patterns that are common across multiple subjects under identical external stimulus. FC relates to the similarity of fMRI responses across different…

Neurons and Cognition · Quantitative Biology 2020-03-05 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

This paper illustrates how multilevel functional models can detect and characterize biomechanical changes along different sport training sessions. Our analysis focuses on the relevant cases to identify differences in knee biomechanics in…

Applications · Statistics 2021-04-07 Marcos Matabuena , Sherveen Riazati , Nick Caplan , Phil Hayes

We consider the problem of deriving uniform confidence bands for the mean of a monotonic stochastic process, such as the cumulative distribution function (CDF) of a random variable, based on a sequence of i.i.d.~observations. Our approach…

Statistics Theory · Mathematics 2025-02-04 Eugenio Clerico , Hamish E Flynn , Patrick Rebeschini

We develop methodology to detect structural breaks in the slope function of a concurrent functional linear regression model for functional time series in $C[0,1]$. Our test is based on a CUSUM process of regressor-weighted OLS residual…

Methodology · Statistics 2026-02-16 Rupsa Basu , Sven Otto

We provide an online framework for analyzing data recorded by smart watches during running activities. In particular, we focus on identifying variations in the behavior of one or more measurements caused by changes in physical condition,…

Applications · Statistics 2022-06-24 Mattia Stival , Mauro Bernardi , Petros Dellaportas

Running is a fundamental form of human locomotion and a key task for evaluating neuromuscular control and lower-limb coordination. In recent years, muscle synergy analysis based on surface electromyography (sEMG) has become an important…

Quantitative Methods · Quantitative Biology 2026-01-01 Ye Ma , Shixin Lin , Shengxing Fu , Yuwei Liu , Chenyi Guo , Dongwei Liu , Meijin Hou

In this paper we develop procedures to construct simultaneous confidence bands for $\tilde p$ potentially infinite-dimensional parameters after model selection for general moment condition models where $\tilde p$ is potentially much larger…

Methodology · Statistics 2019-02-05 Alexandre Belloni , Victor Chernozhukov , Denis Chetverikov , Ying Wei

In epidemiology, some have argued that multiple comparison corrections are not necessary as there is rarely interest in the universal null hypothesis. From a parameter estimation perspective, epidemiologists may still be interested in…

When the study variable is functional and storage capacities are limited or transmission costs are high, selecting with survey sampling techniques a small fraction of the observations is an interesting alternative to signal compression…

Statistics Theory · Mathematics 2013-02-15 Hervé Cardot , Camelia Goga , Pauline Lardin

Robust design has been widely recognized as a leading method in reducing variability and improving quality. Most of the engineering statistics literature mainly focuses on finding "point estimates" of the optimum operating conditions for…

Methodology · Statistics 2013-08-14 Chanseok Park

Background. Joint range of motion (ROM) is an important quantitative measure for physical therapy. Commonly relying on a goniometer, accurate and reliable ROM measurement requires extensive training and practice. This, in turn, imposes a…

Human-Computer Interaction · Computer Science 2023-10-12 Xiaoye Michael Wang , Derek T. Smith , Qin Zhu

Upper Confidence Bound (UCB) is arguably the most commonly used method for linear multi-arm bandit problems. While conceptually and computationally simple, this method highly relies on the confidence bounds, failing to strike the optimal…

Machine Learning · Computer Science 2020-06-05 Kaige Yang , Laura Toni

Multi-arm bandits are gaining popularity as they enable real-world sequential decision-making across application areas, including clinical trials, recommender systems, and online decision-making. Consequently, there is an increased desire…

Methodology · Statistics 2023-03-01 Dae Woong Ham , Iavor Bojinov , Michael Lindon , Martin Tingley

The new method is proposed to monitor the level of currently accumulated fatigue and estimate it by the several statistical methods. The experimental software application was developed and used to get data from sensors (accelerometer, GPS,…

Computational Engineering, Finance, and Science · Computer Science 2016-05-18 Nikita Gordienko

In ergonomics and biomechanics, muscle fatigue models based on maximum endurance time (MET) models are often used to integrate fatigue effect into ergonomic and biomechanical application. However, due to the empirical principle of those MET…

Robotics · Computer Science 2011-04-08 Liang Ma , Damien Chablat , Fouad Bennis , Wei Zhang , Bo Hu , François Guillaume

Modern multiscale type segmentation methods are known to detect multiple change-points with high statistical accuracy, while allowing for fast computation. Underpinning theory has been developed mainly for models that assume the signal as a…

Statistics Theory · Mathematics 2019-09-26 Housen Li , Qinghai Guo , Axel Munk
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