The bootstrap method in space physics: Error estimation for the minimum variance analysis

Details The bootstrap method in space physics: Error estimation for the minimum variance analysis The bootstrap method in space physics: Error estimation for the minimum variance analysis

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995georl..22..307k&link_type=abstract

Geophysical Research Letters, Volume 22, Issue 3, p. 307-310

Physics

Plasma Physics

24

Magnetospheric Physics: Magnetopause, Cusp, And Boundary Layers, Magnetospheric Physics: Mhd Waves And Instabilities, Magnetospheric Physics: General Or Miscellaneous, Space Plasma Physics: General Or Miscellaneous

Scientific paper

The minimum variance analysis technique introduced by Sonnerup and Cahill (1967) is a useful tool in space physics, However, the statistical errors appearing in this method are difficult to estimate accurately because of the complicated form of the eigenvalue decomposition. To deal with this problem, this paper introduces the bootstrap method (Efron, 1979) which replaces analytical solutions with repeated simple calculations. We apply this method to the estimation of the stistical errors in the minimum variance direction and the average component in the minimum variance direction, and show that this method accurately estimates the errors.

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