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- W2556763670 abstract "In gait analysis of the knee joint the data is given by curves in the group of $3times3$ rotation matrices. We introduce $mathcal{S}$-equivariant functional models (viz., Gaussian perturbations of a center curve) and provide a uniform strong consistent estimator for the center curves. Here $mathcal{S}$ is a certain Lie group, which models the effect of different marker placements and self-chosen walking speeds in real gait data. For this setup we provide estimators correcting for different marker placements and walking speeds and provide different statistical tools for example simultaneous confidence sets and permutation tests to analyze such data. The methods are applied to real gait data from an experiment studying the effect of short kneeling." @default.
- W2556763670 created "2016-11-30" @default.
- W2556763670 creator A5078089182 @default.
- W2556763670 date "2016-11-04" @default.
- W2556763670 modified "2023-09-27" @default.
- W2556763670 title "Equivariant Functional Shape Analysis in SO(3) with Applications to Gait Analysis" @default.
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- W2556763670 hasPublicationYear "2016" @default.
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