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The Annals of Statistics
Article
License: implied-oa
Data sources: UnpayWall
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Project Euclid
Other literature type . 1989
Data sources: Project Euclid
The Annals of Statistics
Article . 1989 . Peer-reviewed
Data sources: Crossref
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Gait Analysis and the Bootstrap

Authors: Olshen, Richard A.; Biden, Edmund N.; Wyatt, Marilynn P.; Sutherland, David H.;

Gait Analysis and the Bootstrap

Abstract

This paper is about random coefficient trigonometric regression models and their use in gait analysis. Here gait analysis means free-speed walking on a level surface. Our study focuses on bootstrap-based prediction regions for the angular rotation curves of test children, when the relevant training data are gathered from normal children of comparable ages. Considerations that led to our choice of model and use of the bootstrap are given. Prediction regions and empirical bootstrap distributions are displayed, as is their application to several test cases. Also included is a study of the almost sure asymptotic behavior of the theoretical bootstrap probability of the prediction regions.

Keywords

trigonometric regression, 62J05, 62P10, gait analysis, 62G15, Vapnik-Chervonenkis classes, Bootstrapped prediction regions, 60F99

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    76
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
76
Top 10%
Top 1%
Top 10%
Green
hybrid