Statistics
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jgr....81.4723v&link_type=abstract
Journal of Geophysical Research, vol. 81, Sept. 1, 1976, p. 4723-4730.
Statistics
1
Electromagnetic Scattering, Interplanetary Space, Plasma-Electromagnetic Interaction, Scintillation, Statistical Distributions, Born Approximation, Correlation Coefficients, Electromagnetic Fields, Normal Density Functions, Quadratures, Solar Wind, Variance (Statistics)
Scientific paper
The third and fourth intensity moments are calculated for a stochastic electromagnetic field whose quadrature components obey joint Gaussian statistics. From these moments the skewness and excess coefficients are derived and compared with the expressions for Rice-Nakagami and log-normal statistics. The joint Gaussian intensity moments depend on three moments of the scattered electromagnetic wave, the in-phase and quadrature variances and the correlation coefficient; these three moments are calculated in the first Born approximation to illustrate application of the joint Gaussian results to interplanetary radio-star scintillations. With this approximation, observations of skewness versus scintillation index are related to combinations of correlation length and spectral index for the solar-wind electron number-density fluctuations. This weak scattering relationship suggests a number of observational tests of the joint Gaussian hypothesis.
Knepp D. L.
Valley George C.
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