The Annals of Statistics

Gait Analysis and the Bootstrap

Richard A. Olshen, Edmund N. Biden, Marilynn P. Wyatt, and David H. Sutherland

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 17, Number 4 (1989), 1419-1440.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176347372

Digital Object Identifier
doi:10.1214/aos/1176347372

Mathematical Reviews number (MathSciNet)
MR1026290

Zentralblatt MATH identifier
0695.62244

JSTOR
links.jstor.org

Subjects
Primary: 62G15: Tolerance and confidence regions
Secondary: 62P10: Applications to biology and medical sciences 62J05: Linear regression 60F99: None of the above, but in this section

Keywords
Bootstrapped prediction regions gait analysis trigonometric regression Vapnik-Chervonenkis classes

Citation

Olshen, Richard A.; Biden, Edmund N.; Wyatt, Marilynn P.; Sutherland, David H. Gait Analysis and the Bootstrap. Ann. Statist. 17 (1989), no. 4, 1419--1440. doi:10.1214/aos/1176347372. https://projecteuclid.org/euclid.aos/1176347372


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