Distributions of the interplanetary magnetic field revisited

Details Distributions of the interplanetary magnetic field revisited Distributions of the interplanetary magnetic field revisited

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jgr....9917645f&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 99, no. A9, p. 17,645-17,651

Mathematics

Probability

21

Interplanetary Magnetic Fields, Normal Density Functions, Probability Density Functions, Solar Activity Effects, Kurtosis, Skewness, Solar Cycles, Solar Wind Velocity

Scientific paper

The adequacy of the power spectrum to characterize the variations of a parameter depends on whether or not the parameter has a Gaussian distribution. We here perform very simple tests of Gaussianity on the distribution. We here perform very simple tests of Gaussianity on the distributions of the magnitudes of the interplanetary magnetic field, and on the distributions of the components; that is, we find the first four cumulants of the distributions (mean, variance, skewness, and kurtosis) and their solar cycle variations. We find, consistent with other recent analyses, that the traditional distributions of the 1-hour averaged magnitude are not distributed normally or lognomally as has often been assumed and the 1-hour averaged z component is found to have a nonzero kurtosis. Thus the power spectrum is insufficient to completely characterize these variations and polyspectra are needed. We have isolated variations in the 1/f frequency region of the spectrum and show that the distributions of the magnitudes have nonzero skewness and kurtosis, the magnitudes are not distributed lognormally, and the distributions of the components have nonzero kurtosis. Thus higher-order spectra are again needed for a full characterization.

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